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Finding the Fourth Proportional to 188,691.60, 282,977.16 and 62,308.32

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Solution

The fourth proportional to 188,691.60, 282,977.16 and 62,308.32 is: 93,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,691.60 : 282,977.16 = 62,308.32 : x
  2. Step 2: Convert to fraction form
    188,691.60/282,977.16 = 62,308.32/x
  3. Step 3: Cross multiply
    188,691.60x = 282,977.16 × 62,308.32
  4. Step 4: Simplify right side
    188,691.60x = 17,631,831,437.97
  5. Step 5: Solve for x
    x = 17,631,831,437.97/188,691.60
  6. Step 6: Final answer
    x = 93,442.59

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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.