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Finding the Fourth Proportional to 157,844.10, 217,830.15 and 86,230.80

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Solution

The fourth proportional to 157,844.10, 217,830.15 and 86,230.80 is: 119,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,844.10 : 217,830.15 = 86,230.80 : x
  2. Step 2: Convert to fraction form
    157,844.10/217,830.15 = 86,230.80/x
  3. Step 3: Cross multiply
    157,844.10x = 217,830.15 × 86,230.80
  4. Step 4: Simplify right side
    157,844.10x = 18,783,668,098.62
  5. Step 5: Solve for x
    x = 18,783,668,098.62/157,844.10
  6. Step 6: Final answer
    x = 119,001.40

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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.