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Finding the Fourth Proportional to 147,265.86, 220,934.16 and 47,435.52

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Solution

The fourth proportional to 147,265.86, 220,934.16 and 47,435.52 is: 71,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,265.86 : 220,934.16 = 47,435.52 : x
  2. Step 2: Convert to fraction form
    147,265.86/220,934.16 = 47,435.52/x
  3. Step 3: Cross multiply
    147,265.86x = 220,934.16 × 47,435.52
  4. Step 4: Simplify right side
    147,265.86x = 10,480,126,765.36
  5. Step 5: Solve for x
    x = 10,480,126,765.36/147,265.86
  6. Step 6: Final answer
    x = 71,164.67

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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.