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Finding the Fourth Proportional to 142,405.80, 213,551.10 and 48,863.40

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Solution

The fourth proportional to 142,405.80, 213,551.10 and 48,863.40 is: 73,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405.80 : 213,551.10 = 48,863.40 : x
  2. Step 2: Convert to fraction form
    142,405.80/213,551.10 = 48,863.40/x
  3. Step 3: Cross multiply
    142,405.80x = 213,551.10 × 48,863.40
  4. Step 4: Simplify right side
    142,405.80x = 10,434,832,819.74
  5. Step 5: Solve for x
    x = 10,434,832,819.74/142,405.80
  6. Step 6: Final answer
    x = 73,275.34

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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.