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Finding the Fourth Proportional to 144,686.80, 216,965.40 and 65,760.40

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Solution

The fourth proportional to 144,686.80, 216,965.40 and 65,760.40 is: 98,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,686.80 : 216,965.40 = 65,760.40 : x
  2. Step 2: Convert to fraction form
    144,686.80/216,965.40 = 65,760.40/x
  3. Step 3: Cross multiply
    144,686.80x = 216,965.40 × 65,760.40
  4. Step 4: Simplify right side
    144,686.80x = 14,267,731,490.16
  5. Step 5: Solve for x
    x = 14,267,731,490.16/144,686.80
  6. Step 6: Final answer
    x = 98,611.15

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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.