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Finding the Fourth Proportional to 178,894.96, 268,351.58 and 45,776.36

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Solution

The fourth proportional to 178,894.96, 268,351.58 and 45,776.36 is: 68,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,894.96 : 268,351.58 = 45,776.36 : x
  2. Step 2: Convert to fraction form
    178,894.96/268,351.58 = 45,776.36/x
  3. Step 3: Cross multiply
    178,894.96x = 268,351.58 × 45,776.36
  4. Step 4: Simplify right side
    178,894.96x = 12,284,158,532.65
  5. Step 5: Solve for x
    x = 12,284,158,532.65/178,894.96
  6. Step 6: Final answer
    x = 68,666.88

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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.