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Finding the Fourth Proportional to 103,689.80, 155,534.70 and 101,385.80

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Solution

The fourth proportional to 103,689.80, 155,534.70 and 101,385.80 is: 152,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689.80 : 155,534.70 = 101,385.80 : x
  2. Step 2: Convert to fraction form
    103,689.80/155,534.70 = 101,385.80/x
  3. Step 3: Cross multiply
    103,689.80x = 155,534.70 × 101,385.80
  4. Step 4: Simplify right side
    103,689.80x = 15,769,009,987.26
  5. Step 5: Solve for x
    x = 15,769,009,987.26/103,689.80
  6. Step 6: Final answer
    x = 152,078.70

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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.