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Finding the Fourth Proportional to 239,486.47, 359,229.71 and 97,409.04

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Solution

The fourth proportional to 239,486.47, 359,229.71 and 97,409.04 is: 146,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,486.47 : 359,229.71 = 97,409.04 : x
  2. Step 2: Convert to fraction form
    239,486.47/359,229.71 = 97,409.04/x
  3. Step 3: Cross multiply
    239,486.47x = 359,229.71 × 97,409.04
  4. Step 4: Simplify right side
    239,486.47x = 34,992,220,065.61
  5. Step 5: Solve for x
    x = 34,992,220,065.61/239,486.47
  6. Step 6: Final answer
    x = 146,113.56

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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.