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Finding the Fourth Proportional to 175,635.20, 262,675.20 and 147,641.60

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Solution

The fourth proportional to 175,635.20, 262,675.20 and 147,641.60 is: 220,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,635.20 : 262,675.20 = 147,641.60 : x
  2. Step 2: Convert to fraction form
    175,635.20/262,675.20 = 147,641.60/x
  3. Step 3: Cross multiply
    175,635.20x = 262,675.20 × 147,641.60
  4. Step 4: Simplify right side
    175,635.20x = 38,781,786,808.32
  5. Step 5: Solve for x
    x = 38,781,786,808.32/175,635.20
  6. Step 6: Final answer
    x = 220,808.74

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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.