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Finding the Fourth Proportional to 144,468.80, 216,638.40 and 65,542.40

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Solution

The fourth proportional to 144,468.80, 216,638.40 and 65,542.40 is: 98,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,468.80 : 216,638.40 = 65,542.40 : x
  2. Step 2: Convert to fraction form
    144,468.80/216,638.40 = 65,542.40/x
  3. Step 3: Cross multiply
    144,468.80x = 216,638.40 × 65,542.40
  4. Step 4: Simplify right side
    144,468.80x = 14,199,000,668.16
  5. Step 5: Solve for x
    x = 14,199,000,668.16/144,468.80
  6. Step 6: Final answer
    x = 98,284.20

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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.