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Finding the Fourth Proportional to 144,082.60, 216,121.04 and 65,141.60

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Solution

The fourth proportional to 144,082.60, 216,121.04 and 65,141.60 is: 97,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082.60 : 216,121.04 = 65,141.60 : x
  2. Step 2: Convert to fraction form
    144,082.60/216,121.04 = 65,141.60/x
  3. Step 3: Cross multiply
    144,082.60x = 216,121.04 × 65,141.60
  4. Step 4: Simplify right side
    144,082.60x = 14,078,470,339.26
  5. Step 5: Solve for x
    x = 14,078,470,339.26/144,082.60
  6. Step 6: Final answer
    x = 97,711.11

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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.