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Finding the Fourth Proportional to 144,463.28, 216,780.84 and 65,576.48

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Solution

The fourth proportional to 144,463.28, 216,780.84 and 65,576.48 is: 98,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,463.28 : 216,780.84 = 65,576.48 : x
  2. Step 2: Convert to fraction form
    144,463.28/216,780.84 = 65,576.48/x
  3. Step 3: Cross multiply
    144,463.28x = 216,780.84 × 65,576.48
  4. Step 4: Simplify right side
    144,463.28x = 14,215,724,418.64
  5. Step 5: Solve for x
    x = 14,215,724,418.64/144,463.28
  6. Step 6: Final answer
    x = 98,403.72

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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.