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Finding the Fourth Proportional to 294,856.97, 441,563.74 and 137,130.53

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Solution

The fourth proportional to 294,856.97, 441,563.74 and 137,130.53 is: 205,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,856.97 : 441,563.74 = 137,130.53 : x
  2. Step 2: Convert to fraction form
    294,856.97/441,563.74 = 137,130.53/x
  3. Step 3: Cross multiply
    294,856.97x = 441,563.74 × 137,130.53
  4. Step 4: Simplify right side
    294,856.97x = 60,551,867,144.34
  5. Step 5: Solve for x
    x = 60,551,867,144.34/294,856.97
  6. Step 6: Final answer
    x = 205,360.14

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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.