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Finding the Fourth Proportional to 163,871.31, 245,853.14 and 148,256.13

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Solution

The fourth proportional to 163,871.31, 245,853.14 and 148,256.13 is: 222,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,871.31 : 245,853.14 = 148,256.13 : x
  2. Step 2: Convert to fraction form
    163,871.31/245,853.14 = 148,256.13/x
  3. Step 3: Cross multiply
    163,871.31x = 245,853.14 × 148,256.13
  4. Step 4: Simplify right side
    163,871.31x = 36,449,234,343.47
  5. Step 5: Solve for x
    x = 36,449,234,343.47/163,871.31
  6. Step 6: Final answer
    x = 222,425.97

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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.