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Finding the Fourth Proportional to 175,416, 242,074.08 and 95,928

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Solution

The fourth proportional to 175,416, 242,074.08 and 95,928 is: 132,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,416 : 242,074.08 = 95,928 : x
  2. Step 2: Convert to fraction form
    175,416/242,074.08 = 95,928/x
  3. Step 3: Cross multiply
    175,416x = 242,074.08 × 95,928
  4. Step 4: Simplify right side
    175,416x = 23,221,682,346.24
  5. Step 5: Solve for x
    x = 23,221,682,346.24/175,416
  6. Step 6: Final answer
    x = 132,380.64

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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.