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Finding the Fourth Proportional to 157,713.66, 217,649.70 and 86,098.32

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Solution

The fourth proportional to 157,713.66, 217,649.70 and 86,098.32 is: 118,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,713.66 : 217,649.70 = 86,098.32 : x
  2. Step 2: Convert to fraction form
    157,713.66/217,649.70 = 86,098.32/x
  3. Step 3: Cross multiply
    157,713.66x = 217,649.70 × 86,098.32
  4. Step 4: Simplify right side
    157,713.66x = 18,739,273,518.50
  5. Step 5: Solve for x
    x = 18,739,273,518.50/157,713.66
  6. Step 6: Final answer
    x = 118,818.33

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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.