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Finding the Fourth Proportional to 75,176.76, 112,626.18 and 65,204.04

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Solution

The fourth proportional to 75,176.76, 112,626.18 and 65,204.04 is: 97,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176.76 : 112,626.18 = 65,204.04 : x
  2. Step 2: Convert to fraction form
    75,176.76/112,626.18 = 65,204.04/x
  3. Step 3: Cross multiply
    75,176.76x = 112,626.18 × 65,204.04
  4. Step 4: Simplify right side
    75,176.76x = 7,343,681,945.77
  5. Step 5: Solve for x
    x = 7,343,681,945.77/75,176.76
  6. Step 6: Final answer
    x = 97,685.53

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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.