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Finding the Fourth Proportional to 144,549.53, 216,786.02 and 65,646.21

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Solution

The fourth proportional to 144,549.53, 216,786.02 and 65,646.21 is: 98,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,549.53 : 216,786.02 = 65,646.21 : x
  2. Step 2: Convert to fraction form
    144,549.53/216,786.02 = 65,646.21/x
  3. Step 3: Cross multiply
    144,549.53x = 216,786.02 × 65,646.21
  4. Step 4: Simplify right side
    144,549.53x = 14,231,180,265.75
  5. Step 5: Solve for x
    x = 14,231,180,265.75/144,549.53
  6. Step 6: Final answer
    x = 98,451.93

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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.