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Finding the Fourth Proportional to 233,854.92, 322,722.90 and 138,359.16

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Solution

The fourth proportional to 233,854.92, 322,722.90 and 138,359.16 is: 190,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,854.92 : 322,722.90 = 138,359.16 : x
  2. Step 2: Convert to fraction form
    233,854.92/322,722.90 = 138,359.16/x
  3. Step 3: Cross multiply
    233,854.92x = 322,722.90 × 138,359.16
  4. Step 4: Simplify right side
    233,854.92x = 44,651,669,356.76
  5. Step 5: Solve for x
    x = 44,651,669,356.76/233,854.92
  6. Step 6: Final answer
    x = 190,937.48

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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.