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Finding the Fourth Proportional to 153,221.86, 229,832.79 and 48,049.03

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Solution

The fourth proportional to 153,221.86, 229,832.79 and 48,049.03 is: 72,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,221.86 : 229,832.79 = 48,049.03 : x
  2. Step 2: Convert to fraction form
    153,221.86/229,832.79 = 48,049.03/x
  3. Step 3: Cross multiply
    153,221.86x = 229,832.79 × 48,049.03
  4. Step 4: Simplify right side
    153,221.86x = 11,043,242,999.08
  5. Step 5: Solve for x
    x = 11,043,242,999.08/153,221.86
  6. Step 6: Final answer
    x = 72,073.55

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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.