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Finding the Fourth Proportional to 191,521.92, 287,337.68 and 65,190

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Solution

The fourth proportional to 191,521.92, 287,337.68 and 65,190 is: 97,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,521.92 : 287,337.68 = 65,190 : x
  2. Step 2: Convert to fraction form
    191,521.92/287,337.68 = 65,190/x
  3. Step 3: Cross multiply
    191,521.92x = 287,337.68 × 65,190
  4. Step 4: Simplify right side
    191,521.92x = 18,731,543,359.20
  5. Step 5: Solve for x
    x = 18,731,543,359.20/191,521.92
  6. Step 6: Final answer
    x = 97,803.65

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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.