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Finding the Fourth Proportional to 167,678.40, 251,431.20 and 62,443.20

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Solution

The fourth proportional to 167,678.40, 251,431.20 and 62,443.20 is: 93,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,678.40 : 251,431.20 = 62,443.20 : x
  2. Step 2: Convert to fraction form
    167,678.40/251,431.20 = 62,443.20/x
  3. Step 3: Cross multiply
    167,678.40x = 251,431.20 × 62,443.20
  4. Step 4: Simplify right side
    167,678.40x = 15,700,168,707.84
  5. Step 5: Solve for x
    x = 15,700,168,707.84/167,678.40
  6. Step 6: Final answer
    x = 93,632.62

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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.