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Finding the Fourth Proportional to 110,419.80, 152,474.04 and 106,849.18

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Solution

The fourth proportional to 110,419.80, 152,474.04 and 106,849.18 is: 147,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419.80 : 152,474.04 = 106,849.18 : x
  2. Step 2: Convert to fraction form
    110,419.80/152,474.04 = 106,849.18/x
  3. Step 3: Cross multiply
    110,419.80x = 152,474.04 × 106,849.18
  4. Step 4: Simplify right side
    110,419.80x = 16,291,725,611.04
  5. Step 5: Solve for x
    x = 16,291,725,611.04/110,419.80
  6. Step 6: Final answer
    x = 147,543.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.