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Finding the Fourth Proportional to 162,565.20, 243,750.60 and 83,833.20

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Solution

The fourth proportional to 162,565.20, 243,750.60 and 83,833.20 is: 125,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,565.20 : 243,750.60 = 83,833.20 : x
  2. Step 2: Convert to fraction form
    162,565.20/243,750.60 = 83,833.20/x
  3. Step 3: Cross multiply
    162,565.20x = 243,750.60 × 83,833.20
  4. Step 4: Simplify right side
    162,565.20x = 20,434,392,799.92
  5. Step 5: Solve for x
    x = 20,434,392,799.92/162,565.20
  6. Step 6: Final answer
    x = 125,699.67

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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.