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Finding the Fourth Proportional to 116,461.20, 160,715.48 and 65,474.16

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Solution

The fourth proportional to 116,461.20, 160,715.48 and 65,474.16 is: 90,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.20 : 160,715.48 = 65,474.16 : x
  2. Step 2: Convert to fraction form
    116,461.20/160,715.48 = 65,474.16/x
  3. Step 3: Cross multiply
    116,461.20x = 160,715.48 × 65,474.16
  4. Step 4: Simplify right side
    116,461.20x = 10,522,710,490.24
  5. Step 5: Solve for x
    x = 10,522,710,490.24/116,461.20
  6. Step 6: Final answer
    x = 90,353.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.