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Finding the Fourth Proportional to 178,765.96, 268,148.90 and 45,641.46

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Solution

The fourth proportional to 178,765.96, 268,148.90 and 45,641.46 is: 68,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,765.96 : 268,148.90 = 45,641.46 : x
  2. Step 2: Convert to fraction form
    178,765.96/268,148.90 = 45,641.46/x
  3. Step 3: Cross multiply
    178,765.96x = 268,148.90 × 45,641.46
  4. Step 4: Simplify right side
    178,765.96x = 12,238,707,293.39
  5. Step 5: Solve for x
    x = 12,238,707,293.39/178,765.96
  6. Step 6: Final answer
    x = 68,462.18

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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.