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Finding the Fourth Proportional to 160,262, 240,327.36 and 71,454.76

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Solution

The fourth proportional to 160,262, 240,327.36 and 71,454.76 is: 107,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,262 : 240,327.36 = 71,454.76 : x
  2. Step 2: Convert to fraction form
    160,262/240,327.36 = 71,454.76/x
  3. Step 3: Cross multiply
    160,262x = 240,327.36 × 71,454.76
  4. Step 4: Simplify right side
    160,262x = 17,172,533,830.23
  5. Step 5: Solve for x
    x = 17,172,533,830.23/160,262
  6. Step 6: Final answer
    x = 107,152.87

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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.