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Finding the Fourth Proportional to 252,298.33, 348,174.38 and 137,576.00

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Solution

The fourth proportional to 252,298.33, 348,174.38 and 137,576.00 is: 189,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,298.33 : 348,174.38 = 137,576.00 : x
  2. Step 2: Convert to fraction form
    252,298.33/348,174.38 = 137,576.00/x
  3. Step 3: Cross multiply
    252,298.33x = 348,174.38 × 137,576.00
  4. Step 4: Simplify right side
    252,298.33x = 47,900,439,717.26
  5. Step 5: Solve for x
    x = 47,900,439,717.26/252,298.33
  6. Step 6: Final answer
    x = 189,856.35

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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.