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Finding the Fourth Proportional to 109,909.60, 151,509.90 and 85,994.75

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Solution

The fourth proportional to 109,909.60, 151,509.90 and 85,994.75 is: 118,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.60 : 151,509.90 = 85,994.75 : x
  2. Step 2: Convert to fraction form
    109,909.60/151,509.90 = 85,994.75/x
  3. Step 3: Cross multiply
    109,909.60x = 151,509.90 × 85,994.75
  4. Step 4: Simplify right side
    109,909.60x = 13,029,055,973.03
  5. Step 5: Solve for x
    x = 13,029,055,973.03/109,909.60
  6. Step 6: Final answer
    x = 118,543.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.