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Finding the Fourth Proportional to 177,577.60, 266,074.80 and 147,834.40

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Solution

The fourth proportional to 177,577.60, 266,074.80 and 147,834.40 is: 221,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,577.60 : 266,074.80 = 147,834.40 : x
  2. Step 2: Convert to fraction form
    177,577.60/266,074.80 = 147,834.40/x
  3. Step 3: Cross multiply
    177,577.60x = 266,074.80 × 147,834.40
  4. Step 4: Simplify right side
    177,577.60x = 39,335,008,413.12
  5. Step 5: Solve for x
    x = 39,335,008,413.12/177,577.60
  6. Step 6: Final answer
    x = 221,508.84

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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.