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Finding the Fourth Proportional to 218,966.04, 328,449.06 and 78,648.12

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Solution

The fourth proportional to 218,966.04, 328,449.06 and 78,648.12 is: 117,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,966.04 : 328,449.06 = 78,648.12 : x
  2. Step 2: Convert to fraction form
    218,966.04/328,449.06 = 78,648.12/x
  3. Step 3: Cross multiply
    218,966.04x = 328,449.06 × 78,648.12
  4. Step 4: Simplify right side
    218,966.04x = 25,831,901,084.77
  5. Step 5: Solve for x
    x = 25,831,901,084.77/218,966.04
  6. Step 6: Final answer
    x = 117,972.18

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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.