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Finding the Fourth Proportional to 96,013.80, 144,020.70 and 96,013.80

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Solution

The fourth proportional to 96,013.80, 144,020.70 and 96,013.80 is: 144,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,013.80 : 144,020.70 = 96,013.80 : x
  2. Step 2: Convert to fraction form
    96,013.80/144,020.70 = 96,013.80/x
  3. Step 3: Cross multiply
    96,013.80x = 144,020.70 × 96,013.80
  4. Step 4: Simplify right side
    96,013.80x = 13,827,974,685.66
  5. Step 5: Solve for x
    x = 13,827,974,685.66/96,013.80
  6. Step 6: Final answer
    x = 144,020.70

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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.