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Finding the Fourth Proportional to 149,065.74, 223,692.90 and 135,054.03

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Solution

The fourth proportional to 149,065.74, 223,692.90 and 135,054.03 is: 202,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,065.74 : 223,692.90 = 135,054.03 : x
  2. Step 2: Convert to fraction form
    149,065.74/223,692.90 = 135,054.03/x
  3. Step 3: Cross multiply
    149,065.74x = 223,692.90 × 135,054.03
  4. Step 4: Simplify right side
    149,065.74x = 30,210,627,627.39
  5. Step 5: Solve for x
    x = 30,210,627,627.39/149,065.74
  6. Step 6: Final answer
    x = 202,666.47

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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.