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Finding the Fourth Proportional to 153,394.56, 230,101.76 and 48,217.60

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Solution

The fourth proportional to 153,394.56, 230,101.76 and 48,217.60 is: 72,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,394.56 : 230,101.76 = 48,217.60 : x
  2. Step 2: Convert to fraction form
    153,394.56/230,101.76 = 48,217.60/x
  3. Step 3: Cross multiply
    153,394.56x = 230,101.76 × 48,217.60
  4. Step 4: Simplify right side
    153,394.56x = 11,094,954,622.98
  5. Step 5: Solve for x
    x = 11,094,954,622.98/153,394.56
  6. Step 6: Final answer
    x = 72,329.52

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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.