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Finding the Fourth Proportional to 247,381.97, 370,823.67 and 97,564.37

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Solution

The fourth proportional to 247,381.97, 370,823.67 and 97,564.37 is: 146,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,381.97 : 370,823.67 = 97,564.37 : x
  2. Step 2: Convert to fraction form
    247,381.97/370,823.67 = 97,564.37/x
  3. Step 3: Cross multiply
    247,381.97x = 370,823.67 × 97,564.37
  4. Step 4: Simplify right side
    247,381.97x = 36,179,175,890.52
  5. Step 5: Solve for x
    x = 36,179,175,890.52/247,381.97
  6. Step 6: Final answer
    x = 146,248.24

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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.