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Finding the Fourth Proportional to 144,584.80, 216,812.40 and 65,658.40

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Solution

The fourth proportional to 144,584.80, 216,812.40 and 65,658.40 is: 98,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,584.80 : 216,812.40 = 65,658.40 : x
  2. Step 2: Convert to fraction form
    144,584.80/216,812.40 = 65,658.40/x
  3. Step 3: Cross multiply
    144,584.80x = 216,812.40 × 65,658.40
  4. Step 4: Simplify right side
    144,584.80x = 14,235,555,284.16
  5. Step 5: Solve for x
    x = 14,235,555,284.16/144,584.80
  6. Step 6: Final answer
    x = 98,458.17

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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.