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Finding the Fourth Proportional to 153,833.42, 230,739.19 and 41,520.04

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Solution

The fourth proportional to 153,833.42, 230,739.19 and 41,520.04 is: 62,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,833.42 : 230,739.19 = 41,520.04 : x
  2. Step 2: Convert to fraction form
    153,833.42/230,739.19 = 41,520.04/x
  3. Step 3: Cross multiply
    153,833.42x = 230,739.19 × 41,520.04
  4. Step 4: Simplify right side
    153,833.42x = 9,580,299,244.67
  5. Step 5: Solve for x
    x = 9,580,299,244.67/153,833.42
  6. Step 6: Final answer
    x = 62,277.10

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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.