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Finding the Fourth Proportional to 238,113.98, 328,601.29 and 130,694

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Solution

The fourth proportional to 238,113.98, 328,601.29 and 130,694 is: 180,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,113.98 : 328,601.29 = 130,694 : x
  2. Step 2: Convert to fraction form
    238,113.98/328,601.29 = 130,694/x
  3. Step 3: Cross multiply
    238,113.98x = 328,601.29 × 130,694
  4. Step 4: Simplify right side
    238,113.98x = 42,946,216,995.26
  5. Step 5: Solve for x
    x = 42,946,216,995.26/238,113.98
  6. Step 6: Final answer
    x = 180,359.92

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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.