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Finding the Fourth Proportional to 177,214.60, 265,730.10 and 52,539.40

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Solution

The fourth proportional to 177,214.60, 265,730.10 and 52,539.40 is: 78,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,214.60 : 265,730.10 = 52,539.40 : x
  2. Step 2: Convert to fraction form
    177,214.60/265,730.10 = 52,539.40/x
  3. Step 3: Cross multiply
    177,214.60x = 265,730.10 × 52,539.40
  4. Step 4: Simplify right side
    177,214.60x = 13,961,300,015.94
  5. Step 5: Solve for x
    x = 13,961,300,015.94/177,214.60
  6. Step 6: Final answer
    x = 78,781.88

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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.