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Finding the Fourth Proportional to 153,194.48, 229,791.84 and 48,021.64

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Solution

The fourth proportional to 153,194.48, 229,791.84 and 48,021.64 is: 72,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194.48 : 229,791.84 = 48,021.64 : x
  2. Step 2: Convert to fraction form
    153,194.48/229,791.84 = 48,021.64/x
  3. Step 3: Cross multiply
    153,194.48x = 229,791.84 × 48,021.64
  4. Step 4: Simplify right side
    153,194.48x = 11,034,981,015.42
  5. Step 5: Solve for x
    x = 11,034,981,015.42/153,194.48
  6. Step 6: Final answer
    x = 72,032.50

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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.