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Finding the Fourth Proportional to 188,523.61, 260,167.56 and 102,488.38

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Solution

The fourth proportional to 188,523.61, 260,167.56 and 102,488.38 is: 141,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,523.61 : 260,167.56 = 102,488.38 : x
  2. Step 2: Convert to fraction form
    188,523.61/260,167.56 = 102,488.38/x
  3. Step 3: Cross multiply
    188,523.61x = 260,167.56 × 102,488.38
  4. Step 4: Simplify right side
    188,523.61x = 26,664,151,752.95
  5. Step 5: Solve for x
    x = 26,664,151,752.95/188,523.61
  6. Step 6: Final answer
    x = 141,436.67

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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.