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Finding the Fourth Proportional to 233,472.38, 322,070.02 and 147,400.41

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Solution

The fourth proportional to 233,472.38, 322,070.02 and 147,400.41 is: 203,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,472.38 : 322,070.02 = 147,400.41 : x
  2. Step 2: Convert to fraction form
    233,472.38/322,070.02 = 147,400.41/x
  3. Step 3: Cross multiply
    233,472.38x = 322,070.02 × 147,400.41
  4. Step 4: Simplify right side
    233,472.38x = 47,473,252,853.45
  5. Step 5: Solve for x
    x = 47,473,252,853.45/233,472.38
  6. Step 6: Final answer
    x = 203,335.63

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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.