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Finding the Fourth Proportional to 191,815.96, 287,523.29 and 65,411.91

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Solution

The fourth proportional to 191,815.96, 287,523.29 and 65,411.91 is: 98,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,815.96 : 287,523.29 = 65,411.91 : x
  2. Step 2: Convert to fraction form
    191,815.96/287,523.29 = 65,411.91/x
  3. Step 3: Cross multiply
    191,815.96x = 287,523.29 × 65,411.91
  4. Step 4: Simplify right side
    191,815.96x = 18,807,445,803.71
  5. Step 5: Solve for x
    x = 18,807,445,803.71/191,815.96
  6. Step 6: Final answer
    x = 98,049.43

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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.