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Finding the Fourth Proportional to 188,712.58, 283,071.71 and 48,468.10

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Solution

The fourth proportional to 188,712.58, 283,071.71 and 48,468.10 is: 72,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,712.58 : 283,071.71 = 48,468.10 : x
  2. Step 2: Convert to fraction form
    188,712.58/283,071.71 = 48,468.10/x
  3. Step 3: Cross multiply
    188,712.58x = 283,071.71 × 48,468.10
  4. Step 4: Simplify right side
    188,712.58x = 13,719,947,947.45
  5. Step 5: Solve for x
    x = 13,719,947,947.45/188,712.58
  6. Step 6: Final answer
    x = 72,702.88

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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.