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Finding the Fourth Proportional to 153,147.34, 229,721.02 and 47,974.50

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Solution

The fourth proportional to 153,147.34, 229,721.02 and 47,974.50 is: 71,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147.34 : 229,721.02 = 47,974.50 : x
  2. Step 2: Convert to fraction form
    153,147.34/229,721.02 = 47,974.50/x
  3. Step 3: Cross multiply
    153,147.34x = 229,721.02 × 47,974.50
  4. Step 4: Simplify right side
    153,147.34x = 11,020,751,073.99
  5. Step 5: Solve for x
    x = 11,020,751,073.99/153,147.34
  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.