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Finding the Fourth Proportional to 153,142.33, 229,713.51 and 47,969.50

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Solution

The fourth proportional to 153,142.33, 229,713.51 and 47,969.50 is: 71,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,142.33 : 229,713.51 = 47,969.50 : x
  2. Step 2: Convert to fraction form
    153,142.33/229,713.51 = 47,969.50/x
  3. Step 3: Cross multiply
    153,142.33x = 229,713.51 × 47,969.50
  4. Step 4: Simplify right side
    153,142.33x = 11,019,242,217.95
  5. Step 5: Solve for x
    x = 11,019,242,217.95/153,142.33
  6. Step 6: Final answer
    x = 71,954.25

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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.