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Finding the Fourth Proportional to 157,877.78, 217,874.47 and 86,262.24

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Solution

The fourth proportional to 157,877.78, 217,874.47 and 86,262.24 is: 119,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,877.78 : 217,874.47 = 86,262.24 : x
  2. Step 2: Convert to fraction form
    157,877.78/217,874.47 = 86,262.24/x
  3. Step 3: Cross multiply
    157,877.78x = 217,874.47 × 86,262.24
  4. Step 4: Simplify right side
    157,877.78x = 18,794,339,111.81
  5. Step 5: Solve for x
    x = 18,794,339,111.81/157,877.78
  6. Step 6: Final answer
    x = 119,043.60

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1.5x scale

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.