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Finding the Fourth Proportional to 233,884.70, 322,760.58 and 126,454.47

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Solution

The fourth proportional to 233,884.70, 322,760.58 and 126,454.47 is: 174,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,884.70 : 322,760.58 = 126,454.47 : x
  2. Step 2: Convert to fraction form
    233,884.70/322,760.58 = 126,454.47/x
  3. Step 3: Cross multiply
    233,884.70x = 322,760.58 × 126,454.47
  4. Step 4: Simplify right side
    233,884.70x = 40,814,518,080.79
  5. Step 5: Solve for x
    x = 40,814,518,080.79/233,884.70
  6. Step 6: Final answer
    x = 174,507.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.