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Finding the Fourth Proportional to 153,229.64, 229,844.10 and 48,048.44

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Solution

The fourth proportional to 153,229.64, 229,844.10 and 48,048.44 is: 72,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,229.64 : 229,844.10 = 48,048.44 : x
  2. Step 2: Convert to fraction form
    153,229.64/229,844.10 = 48,048.44/x
  3. Step 3: Cross multiply
    153,229.64x = 229,844.10 × 48,048.44
  4. Step 4: Simplify right side
    153,229.64x = 11,043,650,448.20
  5. Step 5: Solve for x
    x = 11,043,650,448.20/153,229.64
  6. Step 6: Final answer
    x = 72,072.55

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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.