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Finding the Fourth Proportional to 191,898.38, 287,646.49 and 107,534.86

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Solution

The fourth proportional to 191,898.38, 287,646.49 and 107,534.86 is: 161,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898.38 : 287,646.49 = 107,534.86 : x
  2. Step 2: Convert to fraction form
    191,898.38/287,646.49 = 107,534.86/x
  3. Step 3: Cross multiply
    191,898.38x = 287,646.49 × 107,534.86
  4. Step 4: Simplify right side
    191,898.38x = 30,932,024,446.94
  5. Step 5: Solve for x
    x = 30,932,024,446.94/191,898.38
  6. Step 6: Final answer
    x = 161,189.60

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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.