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Finding the Fourth Proportional to 149,139.90, 223,744.86 and 49,300.08

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Solution

The fourth proportional to 149,139.90, 223,744.86 and 49,300.08 is: 73,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,139.90 : 223,744.86 = 49,300.08 : x
  2. Step 2: Convert to fraction form
    149,139.90/223,744.86 = 49,300.08/x
  3. Step 3: Cross multiply
    149,139.90x = 223,744.86 × 49,300.08
  4. Step 4: Simplify right side
    149,139.90x = 11,030,639,497.59
  5. Step 5: Solve for x
    x = 11,030,639,497.59/149,139.90
  6. Step 6: Final answer
    x = 73,961.69

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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.