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Finding the Fourth Proportional to 175,388.29, 242,036.51 and 97,867.21

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Solution

The fourth proportional to 175,388.29, 242,036.51 and 97,867.21 is: 135,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,388.29 : 242,036.51 = 97,867.21 : x
  2. Step 2: Convert to fraction form
    175,388.29/242,036.51 = 97,867.21/x
  3. Step 3: Cross multiply
    175,388.29x = 242,036.51 × 97,867.21
  4. Step 4: Simplify right side
    175,388.29x = 23,687,436,857.41
  5. Step 5: Solve for x
    x = 23,687,436,857.41/175,388.29
  6. Step 6: Final answer
    x = 135,057.12

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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.