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Finding the Fourth Proportional to 191,605.46, 287,229.48 and 65,159.30

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Solution

The fourth proportional to 191,605.46, 287,229.48 and 65,159.30 is: 97,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,605.46 : 287,229.48 = 65,159.30 : x
  2. Step 2: Convert to fraction form
    191,605.46/287,229.48 = 65,159.30/x
  3. Step 3: Cross multiply
    191,605.46x = 287,229.48 × 65,159.30
  4. Step 4: Simplify right side
    191,605.46x = 18,715,670,420.02
  5. Step 5: Solve for x
    x = 18,715,670,420.02/191,605.46
  6. Step 6: Final answer
    x = 97,678.17

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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.