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Finding the Fourth Proportional to 177,292.32, 265,788.80 and 77,379.12

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Solution

The fourth proportional to 177,292.32, 265,788.80 and 77,379.12 is: 116,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,292.32 : 265,788.80 = 77,379.12 : x
  2. Step 2: Convert to fraction form
    177,292.32/265,788.80 = 77,379.12/x
  3. Step 3: Cross multiply
    177,292.32x = 265,788.80 × 77,379.12
  4. Step 4: Simplify right side
    177,292.32x = 20,566,503,449.86
  5. Step 5: Solve for x
    x = 20,566,503,449.86/177,292.32
  6. Step 6: Final answer
    x = 116,003.35

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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.