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Finding the Fourth Proportional to 157,752, 217,471.68 and 97,282.06

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Solution

The fourth proportional to 157,752, 217,471.68 and 97,282.06 is: 134,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,752 : 217,471.68 = 97,282.06 : x
  2. Step 2: Convert to fraction form
    157,752/217,471.68 = 97,282.06/x
  3. Step 3: Cross multiply
    157,752x = 217,471.68 × 97,282.06
  4. Step 4: Simplify right side
    157,752x = 21,156,092,478.38
  5. Step 5: Solve for x
    x = 21,156,092,478.38/157,752
  6. Step 6: Final answer
    x = 134,109.82

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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.