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Finding the Fourth Proportional to 142,604.76, 213,835.14 and 83,458.20

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Solution

The fourth proportional to 142,604.76, 213,835.14 and 83,458.20 is: 125,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,604.76 : 213,835.14 = 83,458.20 : x
  2. Step 2: Convert to fraction form
    142,604.76/213,835.14 = 83,458.20/x
  3. Step 3: Cross multiply
    142,604.76x = 213,835.14 × 83,458.20
  4. Step 4: Simplify right side
    142,604.76x = 17,846,295,881.15
  5. Step 5: Solve for x
    x = 17,846,295,881.15/142,604.76
  6. Step 6: Final answer
    x = 125,145.16

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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.