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Finding the Fourth Proportional to 252,449.49, 348,368.16 and 137,721.29

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Solution

The fourth proportional to 252,449.49, 348,368.16 and 137,721.29 is: 190,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,449.49 : 348,368.16 = 137,721.29 : x
  2. Step 2: Convert to fraction form
    252,449.49/348,368.16 = 137,721.29/x
  3. Step 3: Cross multiply
    252,449.49x = 348,368.16 × 137,721.29
  4. Step 4: Simplify right side
    252,449.49x = 47,977,712,744.59
  5. Step 5: Solve for x
    x = 47,977,712,744.59/252,449.49
  6. Step 6: Final answer
    x = 190,048.76

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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.