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Finding the Fourth Proportional to 157,686.66, 217,606.02 and 86,066.05

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Solution

The fourth proportional to 157,686.66, 217,606.02 and 86,066.05 is: 118,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,686.66 : 217,606.02 = 86,066.05 : x
  2. Step 2: Convert to fraction form
    157,686.66/217,606.02 = 86,066.05/x
  3. Step 3: Cross multiply
    157,686.66x = 217,606.02 × 86,066.05
  4. Step 4: Simplify right side
    157,686.66x = 18,728,490,597.62
  5. Step 5: Solve for x
    x = 18,728,490,597.62/157,686.66
  6. Step 6: Final answer
    x = 118,770.29

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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.