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Finding the Fourth Proportional to 157,551.86, 217,419.72 and 85,932.48

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Solution

The fourth proportional to 157,551.86, 217,419.72 and 85,932.48 is: 118,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,551.86 : 217,419.72 = 85,932.48 : x
  2. Step 2: Convert to fraction form
    157,551.86/217,419.72 = 85,932.48/x
  3. Step 3: Cross multiply
    157,551.86x = 217,419.72 × 85,932.48
  4. Step 4: Simplify right side
    157,551.86x = 18,683,415,740.51
  5. Step 5: Solve for x
    x = 18,683,415,740.51/157,551.86
  6. Step 6: Final answer
    x = 118,585.82

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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.