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Finding the Fourth Proportional to 177,221.86, 265,847.19 and 52,562.50

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Solution

The fourth proportional to 177,221.86, 265,847.19 and 52,562.50 is: 78,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,221.86 : 265,847.19 = 52,562.50 : x
  2. Step 2: Convert to fraction form
    177,221.86/265,847.19 = 52,562.50/x
  3. Step 3: Cross multiply
    177,221.86x = 265,847.19 × 52,562.50
  4. Step 4: Simplify right side
    177,221.86x = 13,973,592,924.38
  5. Step 5: Solve for x
    x = 13,973,592,924.38/177,221.86
  6. Step 6: Final answer
    x = 78,848.02

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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.