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Finding the Fourth Proportional to 149,762.57, 224,639.54 and 38,954.57

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Solution

The fourth proportional to 149,762.57, 224,639.54 and 38,954.57 is: 58,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762.57 : 224,639.54 = 38,954.57 : x
  2. Step 2: Convert to fraction form
    149,762.57/224,639.54 = 38,954.57/x
  3. Step 3: Cross multiply
    149,762.57x = 224,639.54 × 38,954.57
  4. Step 4: Simplify right side
    149,762.57x = 8,750,736,490.92
  5. Step 5: Solve for x
    x = 8,750,736,490.92/149,762.57
  6. Step 6: Final answer
    x = 58,430.73

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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.