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Finding the Fourth Proportional to 153,147.33, 229,721.01 and 47,974.50

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Solution

The fourth proportional to 153,147.33, 229,721.01 and 47,974.50 is: 71,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147.33 : 229,721.01 = 47,974.50 : x
  2. Step 2: Convert to fraction form
    153,147.33/229,721.01 = 47,974.50/x
  3. Step 3: Cross multiply
    153,147.33x = 229,721.01 × 47,974.50
  4. Step 4: Simplify right side
    153,147.33x = 11,020,750,594.25
  5. Step 5: Solve for x
    x = 11,020,750,594.25/153,147.33
  6. Step 6: Final answer
    x = 71,961.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.