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Finding the Fourth Proportional to 157,810.83, 217,780.16 and 86,189.55

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Solution

The fourth proportional to 157,810.83, 217,780.16 and 86,189.55 is: 118,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,810.83 : 217,780.16 = 86,189.55 : x
  2. Step 2: Convert to fraction form
    157,810.83/217,780.16 = 86,189.55/x
  3. Step 3: Cross multiply
    157,810.83x = 217,780.16 × 86,189.55
  4. Step 4: Simplify right side
    157,810.83x = 18,770,373,558.38
  5. Step 5: Solve for x
    x = 18,770,373,558.38/157,810.83
  6. Step 6: Final answer
    x = 118,942.24

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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.