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Finding the Fourth Proportional to 153,144.34, 229,716.52 and 47,971.50

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Solution

The fourth proportional to 153,144.34, 229,716.52 and 47,971.50 is: 71,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144.34 : 229,716.52 = 47,971.50 : x
  2. Step 2: Convert to fraction form
    153,144.34/229,716.52 = 47,971.50/x
  3. Step 3: Cross multiply
    153,144.34x = 229,716.52 × 47,971.50
  4. Step 4: Simplify right side
    153,144.34x = 11,019,846,039.18
  5. Step 5: Solve for x
    x = 11,019,846,039.18/153,144.34
  6. Step 6: Final answer
    x = 71,957.25

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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.