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Finding the Fourth Proportional to 142,652.60, 213,774.10 and 104,918.20

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Solution

The fourth proportional to 142,652.60, 213,774.10 and 104,918.20 is: 157,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652.60 : 213,774.10 = 104,918.20 : x
  2. Step 2: Convert to fraction form
    142,652.60/213,774.10 = 104,918.20/x
  3. Step 3: Cross multiply
    142,652.60x = 213,774.10 × 104,918.20
  4. Step 4: Simplify right side
    142,652.60x = 22,428,793,778.62
  5. Step 5: Solve for x
    x = 22,428,793,778.62/142,652.60
  6. Step 6: Final answer
    x = 157,226.67

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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.