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Finding the Fourth Proportional to 149,233.20, 205,935.84 and 85,526.88

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Solution

The fourth proportional to 149,233.20, 205,935.84 and 85,526.88 is: 118,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,233.20 : 205,935.84 = 85,526.88 : x
  2. Step 2: Convert to fraction form
    149,233.20/205,935.84 = 85,526.88/x
  3. Step 3: Cross multiply
    149,233.20x = 205,935.84 × 85,526.88
  4. Step 4: Simplify right side
    149,233.20x = 17,613,049,875.38
  5. Step 5: Solve for x
    x = 17,613,049,875.38/149,233.20
  6. Step 6: Final answer
    x = 118,023.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.