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Finding the Fourth Proportional to 96,013.40, 144,020.10 and 66,464.60

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Solution

The fourth proportional to 96,013.40, 144,020.10 and 66,464.60 is: 99,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,013.40 : 144,020.10 = 66,464.60 : x
  2. Step 2: Convert to fraction form
    96,013.40/144,020.10 = 66,464.60/x
  3. Step 3: Cross multiply
    96,013.40x = 144,020.10 × 66,464.60
  4. Step 4: Simplify right side
    96,013.40x = 9,572,238,338.46
  5. Step 5: Solve for x
    x = 9,572,238,338.46/96,013.40
  6. Step 6: Final answer
    x = 99,696.90

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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.