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Finding the Fourth Proportional to 103,697.64, 155,539.14 and 59,184.90

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Solution

The fourth proportional to 103,697.64, 155,539.14 and 59,184.90 is: 88,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697.64 : 155,539.14 = 59,184.90 : x
  2. Step 2: Convert to fraction form
    103,697.64/155,539.14 = 59,184.90/x
  3. Step 3: Cross multiply
    103,697.64x = 155,539.14 × 59,184.90
  4. Step 4: Simplify right side
    103,697.64x = 9,205,568,446.99
  5. Step 5: Solve for x
    x = 9,205,568,446.99/103,697.64
  6. Step 6: Final answer
    x = 88,773.17

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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.