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Finding the Fourth Proportional to 157,710.84, 217,637.54 and 86,092.06

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Solution

The fourth proportional to 157,710.84, 217,637.54 and 86,092.06 is: 118,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,710.84 : 217,637.54 = 86,092.06 : x
  2. Step 2: Convert to fraction form
    157,710.84/217,637.54 = 86,092.06/x
  3. Step 3: Cross multiply
    157,710.84x = 217,637.54 × 86,092.06
  4. Step 4: Simplify right side
    157,710.84x = 18,736,864,151.93
  5. Step 5: Solve for x
    x = 18,736,864,151.93/157,710.84
  6. Step 6: Final answer
    x = 118,805.18

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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.