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Finding the Fourth Proportional to 233,835.97, 322,478.44 and 153,234.22

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Solution

The fourth proportional to 233,835.97, 322,478.44 and 153,234.22 is: 211,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,835.97 : 322,478.44 = 153,234.22 : x
  2. Step 2: Convert to fraction form
    233,835.97/322,478.44 = 153,234.22/x
  3. Step 3: Cross multiply
    233,835.97x = 322,478.44 × 153,234.22
  4. Step 4: Simplify right side
    233,835.97x = 49,414,732,220.22
  5. Step 5: Solve for x
    x = 49,414,732,220.22/233,835.97
  6. Step 6: Final answer
    x = 211,322.20

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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.