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Finding the Fourth Proportional to 109,151.63, 163,532.65 and 59,199.86

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Solution

The fourth proportional to 109,151.63, 163,532.65 and 59,199.86 is: 88,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,151.63 : 163,532.65 = 59,199.86 : x
  2. Step 2: Convert to fraction form
    109,151.63/163,532.65 = 59,199.86/x
  3. Step 3: Cross multiply
    109,151.63x = 163,532.65 × 59,199.86
  4. Step 4: Simplify right side
    109,151.63x = 9,681,109,985.43
  5. Step 5: Solve for x
    x = 9,681,109,985.43/109,151.63
  6. Step 6: Final answer
    x = 88,694.14

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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.