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Finding the Fourth Proportional to 231,718.44, 319,798.32 and 141,127.56

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Solution

The fourth proportional to 231,718.44, 319,798.32 and 141,127.56 is: 194,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,718.44 : 319,798.32 = 141,127.56 : x
  2. Step 2: Convert to fraction form
    231,718.44/319,798.32 = 141,127.56/x
  3. Step 3: Cross multiply
    231,718.44x = 319,798.32 × 141,127.56
  4. Step 4: Simplify right side
    231,718.44x = 45,132,356,593.70
  5. Step 5: Solve for x
    x = 45,132,356,593.70/231,718.44
  6. Step 6: Final answer
    x = 194,772.40

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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.