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Finding the Fourth Proportional to 157,079.71, 233,842.82 and 156,145.51

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Solution

The fourth proportional to 157,079.71, 233,842.82 and 156,145.51 is: 232,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079.71 : 233,842.82 = 156,145.51 : x
  2. Step 2: Convert to fraction form
    157,079.71/233,842.82 = 156,145.51/x
  3. Step 3: Cross multiply
    157,079.71x = 233,842.82 × 156,145.51
  4. Step 4: Simplify right side
    157,079.71x = 36,513,506,388.74
  5. Step 5: Solve for x
    x = 36,513,506,388.74/157,079.71
  6. Step 6: Final answer
    x = 232,452.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.