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Finding the Fourth Proportional to 134,863.80, 202,352.40 and 72,461.40

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Solution

The fourth proportional to 134,863.80, 202,352.40 and 72,461.40 is: 108,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,863.80 : 202,352.40 = 72,461.40 : x
  2. Step 2: Convert to fraction form
    134,863.80/202,352.40 = 72,461.40/x
  3. Step 3: Cross multiply
    134,863.80x = 202,352.40 × 72,461.40
  4. Step 4: Simplify right side
    134,863.80x = 14,662,738,197.36
  5. Step 5: Solve for x
    x = 14,662,738,197.36/134,863.80
  6. Step 6: Final answer
    x = 108,722.56

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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.