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Finding the Fourth Proportional to 157,223.16, 216,934.20 and 93,548.52

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Solution

The fourth proportional to 157,223.16, 216,934.20 and 93,548.52 is: 129,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223.16 : 216,934.20 = 93,548.52 : x
  2. Step 2: Convert to fraction form
    157,223.16/216,934.20 = 93,548.52/x
  3. Step 3: Cross multiply
    157,223.16x = 216,934.20 × 93,548.52
  4. Step 4: Simplify right side
    157,223.16x = 20,293,873,347.38
  5. Step 5: Solve for x
    x = 20,293,873,347.38/157,223.16
  6. Step 6: Final answer
    x = 129,076.87

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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.