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Finding the Fourth Proportional to 149,953.60, 224,955.60 and 44,783.20

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Solution

The fourth proportional to 149,953.60, 224,955.60 and 44,783.20 is: 67,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,953.60 : 224,955.60 = 44,783.20 : x
  2. Step 2: Convert to fraction form
    149,953.60/224,955.60 = 44,783.20/x
  3. Step 3: Cross multiply
    149,953.60x = 224,955.60 × 44,783.20
  4. Step 4: Simplify right side
    149,953.60x = 10,074,231,625.92
  5. Step 5: Solve for x
    x = 10,074,231,625.92/149,953.60
  6. Step 6: Final answer
    x = 67,182.33

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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.