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Finding the Fourth Proportional to 157,701.16, 217,598.48 and 89,714.16

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Solution

The fourth proportional to 157,701.16, 217,598.48 and 89,714.16 is: 123,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,701.16 : 217,598.48 = 89,714.16 : x
  2. Step 2: Convert to fraction form
    157,701.16/217,598.48 = 89,714.16/x
  3. Step 3: Cross multiply
    157,701.16x = 217,598.48 × 89,714.16
  4. Step 4: Simplify right side
    157,701.16x = 19,521,664,850.48
  5. Step 5: Solve for x
    x = 19,521,664,850.48/157,701.16
  6. Step 6: Final answer
    x = 123,788.97

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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.