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Finding the Fourth Proportional to 188,496, 260,125.02 and 107,924.76

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Solution

The fourth proportional to 188,496, 260,125.02 and 107,924.76 is: 148,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,496 : 260,125.02 = 107,924.76 : x
  2. Step 2: Convert to fraction form
    188,496/260,125.02 = 107,924.76/x
  3. Step 3: Cross multiply
    188,496x = 260,125.02 × 107,924.76
  4. Step 4: Simplify right side
    188,496x = 28,073,930,353.50
  5. Step 5: Solve for x
    x = 28,073,930,353.50/188,496
  6. Step 6: Final answer
    x = 148,936.48

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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.