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Finding the Fourth Proportional to 107,208.82, 160,828.11 and 62,251.42

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Solution

The fourth proportional to 107,208.82, 160,828.11 and 62,251.42 is: 93,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,208.82 : 160,828.11 = 62,251.42 : x
  2. Step 2: Convert to fraction form
    107,208.82/160,828.11 = 62,251.42/x
  3. Step 3: Cross multiply
    107,208.82x = 160,828.11 × 62,251.42
  4. Step 4: Simplify right side
    107,208.82x = 10,011,778,223.42
  5. Step 5: Solve for x
    x = 10,011,778,223.42/107,208.82
  6. Step 6: Final answer
    x = 93,385.77

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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.