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Finding the Fourth Proportional to 188,384.52, 282,199.26 and 113,462.76

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Solution

The fourth proportional to 188,384.52, 282,199.26 and 113,462.76 is: 169,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,384.52 : 282,199.26 = 113,462.76 : x
  2. Step 2: Convert to fraction form
    188,384.52/282,199.26 = 113,462.76/x
  3. Step 3: Cross multiply
    188,384.52x = 282,199.26 × 113,462.76
  4. Step 4: Simplify right side
    188,384.52x = 32,019,106,909.56
  5. Step 5: Solve for x
    x = 32,019,106,909.56/188,384.52
  6. Step 6: Final answer
    x = 169,966.76

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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.