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Finding the Fourth Proportional to 142,813.60, 214,177.22 and 42,947.28

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Solution

The fourth proportional to 142,813.60, 214,177.22 and 42,947.28 is: 64,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,813.60 : 214,177.22 = 42,947.28 : x
  2. Step 2: Convert to fraction form
    142,813.60/214,177.22 = 42,947.28/x
  3. Step 3: Cross multiply
    142,813.60x = 214,177.22 × 42,947.28
  4. Step 4: Simplify right side
    142,813.60x = 9,198,329,036.96
  5. Step 5: Solve for x
    x = 9,198,329,036.96/142,813.60
  6. Step 6: Final answer
    x = 64,407.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.