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Finding the Fourth Proportional to 175,783.68, 242,624.88 and 100,375.92

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Solution

The fourth proportional to 175,783.68, 242,624.88 and 100,375.92 is: 138,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,783.68 : 242,624.88 = 100,375.92 : x
  2. Step 2: Convert to fraction form
    175,783.68/242,624.88 = 100,375.92/x
  3. Step 3: Cross multiply
    175,783.68x = 242,624.88 × 100,375.92
  4. Step 4: Simplify right side
    175,783.68x = 24,353,695,544.89
  5. Step 5: Solve for x
    x = 24,353,695,544.89/175,783.68
  6. Step 6: Final answer
    x = 138,543.55

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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.