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Finding the Fourth Proportional to 157,697.82, 217,627.11 and 86,084.46

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Solution

The fourth proportional to 157,697.82, 217,627.11 and 86,084.46 is: 118,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,697.82 : 217,627.11 = 86,084.46 : x
  2. Step 2: Convert to fraction form
    157,697.82/217,627.11 = 86,084.46/x
  3. Step 3: Cross multiply
    157,697.82x = 217,627.11 × 86,084.46
  4. Step 4: Simplify right side
    157,697.82x = 18,734,312,245.71
  5. Step 5: Solve for x
    x = 18,734,312,245.71/157,697.82
  6. Step 6: Final answer
    x = 118,798.80

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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.