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Finding the Fourth Proportional to 149,775.96, 223,692.87 and 135,707.88

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Solution

The fourth proportional to 149,775.96, 223,692.87 and 135,707.88 is: 202,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,775.96 : 223,692.87 = 135,707.88 : x
  2. Step 2: Convert to fraction form
    149,775.96/223,692.87 = 135,707.88/x
  3. Step 3: Cross multiply
    149,775.96x = 223,692.87 × 135,707.88
  4. Step 4: Simplify right side
    149,775.96x = 30,356,885,158.82
  5. Step 5: Solve for x
    x = 30,356,885,158.82/149,775.96
  6. Step 6: Final answer
    x = 202,681.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.