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Finding the Fourth Proportional to 149,077.44, 223,655.04 and 55,584

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Solution

The fourth proportional to 149,077.44, 223,655.04 and 55,584 is: 83,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,077.44 : 223,655.04 = 55,584 : x
  2. Step 2: Convert to fraction form
    149,077.44/223,655.04 = 55,584/x
  3. Step 3: Cross multiply
    149,077.44x = 223,655.04 × 55,584
  4. Step 4: Simplify right side
    149,077.44x = 12,431,641,743.36
  5. Step 5: Solve for x
    x = 12,431,641,743.36/149,077.44
  6. Step 6: Final answer
    x = 83,390.50

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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.