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Finding the Fourth Proportional to 376,514.95, 564,393.34 and 166,115.83

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Solution

The fourth proportional to 376,514.95, 564,393.34 and 166,115.83 is: 249,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,514.95 : 564,393.34 = 166,115.83 : x
  2. Step 2: Convert to fraction form
    376,514.95/564,393.34 = 166,115.83/x
  3. Step 3: Cross multiply
    376,514.95x = 564,393.34 × 166,115.83
  4. Step 4: Simplify right side
    376,514.95x = 93,754,668,120.57
  5. Step 5: Solve for x
    x = 93,754,668,120.57/376,514.95
  6. Step 6: Final answer
    x = 249,006.50

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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.