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Finding the Fourth Proportional to 153,322.87, 229,968.13 and 41,014.42

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Solution

The fourth proportional to 153,322.87, 229,968.13 and 41,014.42 is: 61,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,322.87 : 229,968.13 = 41,014.42 : x
  2. Step 2: Convert to fraction form
    153,322.87/229,968.13 = 41,014.42/x
  3. Step 3: Cross multiply
    153,322.87x = 229,968.13 × 41,014.42
  4. Step 4: Simplify right side
    153,322.87x = 9,432,009,470.43
  5. Step 5: Solve for x
    x = 9,432,009,470.43/153,322.87
  6. Step 6: Final answer
    x = 61,517.30

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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.