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Finding the Fourth Proportional to 137,223.20, 205,834.80 and 54,106.40

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Solution

The fourth proportional to 137,223.20, 205,834.80 and 54,106.40 is: 81,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,223.20 : 205,834.80 = 54,106.40 : x
  2. Step 2: Convert to fraction form
    137,223.20/205,834.80 = 54,106.40/x
  3. Step 3: Cross multiply
    137,223.20x = 205,834.80 × 54,106.40
  4. Step 4: Simplify right side
    137,223.20x = 11,136,980,022.72
  5. Step 5: Solve for x
    x = 11,136,980,022.72/137,223.20
  6. Step 6: Final answer
    x = 81,159.60

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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.