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Finding the Fourth Proportional to 233,672.61, 322,490.97 and 138,210.06

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Solution

The fourth proportional to 233,672.61, 322,490.97 and 138,210.06 is: 190,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,672.61 : 322,490.97 = 138,210.06 : x
  2. Step 2: Convert to fraction form
    233,672.61/322,490.97 = 138,210.06/x
  3. Step 3: Cross multiply
    233,672.61x = 322,490.97 × 138,210.06
  4. Step 4: Simplify right side
    233,672.61x = 44,571,497,522.50
  5. Step 5: Solve for x
    x = 44,571,497,522.50/233,672.61
  6. Step 6: Final answer
    x = 190,743.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.