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Finding the Fourth Proportional to 157,564.76, 217,442.30 and 85,947.35

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Solution

The fourth proportional to 157,564.76, 217,442.30 and 85,947.35 is: 118,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564.76 : 217,442.30 = 85,947.35 : x
  2. Step 2: Convert to fraction form
    157,564.76/217,442.30 = 85,947.35/x
  3. Step 3: Cross multiply
    157,564.76x = 217,442.30 × 85,947.35
  4. Step 4: Simplify right side
    157,564.76x = 18,688,587,945.96
  5. Step 5: Solve for x
    x = 18,688,587,945.96/157,564.76
  6. Step 6: Final answer
    x = 118,608.94

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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.