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Finding the Fourth Proportional to 305,098.44, 457,713.72 and 125,184.30

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Solution

The fourth proportional to 305,098.44, 457,713.72 and 125,184.30 is: 187,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,098.44 : 457,713.72 = 125,184.30 : x
  2. Step 2: Convert to fraction form
    305,098.44/457,713.72 = 125,184.30/x
  3. Step 3: Cross multiply
    305,098.44x = 457,713.72 × 125,184.30
  4. Step 4: Simplify right side
    305,098.44x = 57,298,571,638.60
  5. Step 5: Solve for x
    x = 57,298,571,638.60/305,098.44
  6. Step 6: Final answer
    x = 187,803.55

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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.