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Finding the Fourth Proportional to 361,878.80, 542,429.40 and 137,152.40

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Solution

The fourth proportional to 361,878.80, 542,429.40 and 137,152.40 is: 205,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,878.80 : 542,429.40 = 137,152.40 : x
  2. Step 2: Convert to fraction form
    361,878.80/542,429.40 = 137,152.40/x
  3. Step 3: Cross multiply
    361,878.80x = 542,429.40 × 137,152.40
  4. Step 4: Simplify right side
    361,878.80x = 74,395,494,040.56
  5. Step 5: Solve for x
    x = 74,395,494,040.56/361,878.80
  6. Step 6: Final answer
    x = 205,581.24

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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.