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Finding the Fourth Proportional to 103,689.80, 155,304.30 and 89,865.80

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Solution

The fourth proportional to 103,689.80, 155,304.30 and 89,865.80 is: 134,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689.80 : 155,304.30 = 89,865.80 : x
  2. Step 2: Convert to fraction form
    103,689.80/155,304.30 = 89,865.80/x
  3. Step 3: Cross multiply
    103,689.80x = 155,304.30 × 89,865.80
  4. Step 4: Simplify right side
    103,689.80x = 13,956,545,162.94
  5. Step 5: Solve for x
    x = 13,956,545,162.94/103,689.80
  6. Step 6: Final answer
    x = 134,599.02

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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.