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Finding the Fourth Proportional to 178,751.92, 268,127.64 and 45,632.17

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Solution

The fourth proportional to 178,751.92, 268,127.64 and 45,632.17 is: 68,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,751.92 : 268,127.64 = 45,632.17 : x
  2. Step 2: Convert to fraction form
    178,751.92/268,127.64 = 45,632.17/x
  3. Step 3: Cross multiply
    178,751.92x = 268,127.64 × 45,632.17
  4. Step 4: Simplify right side
    178,751.92x = 12,235,246,050.18
  5. Step 5: Solve for x
    x = 12,235,246,050.18/178,751.92
  6. Step 6: Final answer
    x = 68,448.19

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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.