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Finding the Fourth Proportional to 191,905.61, 287,891.21 and 65,538.92

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Solution

The fourth proportional to 191,905.61, 287,891.21 and 65,538.92 is: 98,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,905.61 : 287,891.21 = 65,538.92 : x
  2. Step 2: Convert to fraction form
    191,905.61/287,891.21 = 65,538.92/x
  3. Step 3: Cross multiply
    191,905.61x = 287,891.21 × 65,538.92
  4. Step 4: Simplify right side
    191,905.61x = 18,868,079,864.47
  5. Step 5: Solve for x
    x = 18,868,079,864.47/191,905.61
  6. Step 6: Final answer
    x = 98,319.59

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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.