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Finding the Fourth Proportional to 144,463.40, 216,549.30 and 65,634.20

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Solution

The fourth proportional to 144,463.40, 216,549.30 and 65,634.20 is: 98,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,463.40 : 216,549.30 = 65,634.20 : x
  2. Step 2: Convert to fraction form
    144,463.40/216,549.30 = 65,634.20/x
  3. Step 3: Cross multiply
    144,463.40x = 216,549.30 × 65,634.20
  4. Step 4: Simplify right side
    144,463.40x = 14,213,040,066.06
  5. Step 5: Solve for x
    x = 14,213,040,066.06/144,463.40
  6. Step 6: Final answer
    x = 98,385.06

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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.