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Finding the Fourth Proportional to 149,253.80, 223,880.70 and 49,429.40

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Solution

The fourth proportional to 149,253.80, 223,880.70 and 49,429.40 is: 74,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,253.80 : 223,880.70 = 49,429.40 : x
  2. Step 2: Convert to fraction form
    149,253.80/223,880.70 = 49,429.40/x
  3. Step 3: Cross multiply
    149,253.80x = 223,880.70 × 49,429.40
  4. Step 4: Simplify right side
    149,253.80x = 11,066,288,672.58
  5. Step 5: Solve for x
    x = 11,066,288,672.58/149,253.80
  6. Step 6: Final answer
    x = 74,144.10

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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.