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Finding the Fourth Proportional to 362,801.32, 544,207.41 and 138,174.16

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Solution

The fourth proportional to 362,801.32, 544,207.41 and 138,174.16 is: 207,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,801.32 : 544,207.41 = 138,174.16 : x
  2. Step 2: Convert to fraction form
    362,801.32/544,207.41 = 138,174.16/x
  3. Step 3: Cross multiply
    362,801.32x = 544,207.41 × 138,174.16
  4. Step 4: Simplify right side
    362,801.32x = 75,195,401,742.53
  5. Step 5: Solve for x
    x = 75,195,401,742.53/362,801.32
  6. Step 6: Final answer
    x = 207,263.31

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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.