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Finding the Fourth Proportional to 97,458.96, 146,246.76 and 89,527.44

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Solution

The fourth proportional to 97,458.96, 146,246.76 and 89,527.44 is: 134,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458.96 : 146,246.76 = 89,527.44 : x
  2. Step 2: Convert to fraction form
    97,458.96/146,246.76 = 89,527.44/x
  3. Step 3: Cross multiply
    97,458.96x = 146,246.76 × 89,527.44
  4. Step 4: Simplify right side
    97,458.96x = 13,093,098,031.09
  5. Step 5: Solve for x
    x = 13,093,098,031.09/97,458.96
  6. Step 6: Final answer
    x = 134,344.73

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1.5x scale

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.