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Finding the Fourth Proportional to 177,181.60, 265,779.60 and 58,864

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Solution

The fourth proportional to 177,181.60, 265,779.60 and 58,864 is: 88,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,181.60 : 265,779.60 = 58,864 : x
  2. Step 2: Convert to fraction form
    177,181.60/265,779.60 = 58,864/x
  3. Step 3: Cross multiply
    177,181.60x = 265,779.60 × 58,864
  4. Step 4: Simplify right side
    177,181.60x = 15,644,850,374.40
  5. Step 5: Solve for x
    x = 15,644,850,374.40/177,181.60
  6. Step 6: Final answer
    x = 88,298.39

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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.