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Finding the Fourth Proportional to 157,706.64, 217,632.24 and 86,084.76

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Solution

The fourth proportional to 157,706.64, 217,632.24 and 86,084.76 is: 118,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,706.64 : 217,632.24 = 86,084.76 : x
  2. Step 2: Convert to fraction form
    157,706.64/217,632.24 = 86,084.76/x
  3. Step 3: Cross multiply
    157,706.64x = 217,632.24 × 86,084.76
  4. Step 4: Simplify right side
    157,706.64x = 18,734,819,148.66
  5. Step 5: Solve for x
    x = 18,734,819,148.66/157,706.64
  6. Step 6: Final answer
    x = 118,795.37

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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.