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Finding the Fourth Proportional to 167,584.40, 251,040.02 and 77,500.84

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Solution

The fourth proportional to 167,584.40, 251,040.02 and 77,500.84 is: 116,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,584.40 : 251,040.02 = 77,500.84 : x
  2. Step 2: Convert to fraction form
    167,584.40/251,040.02 = 77,500.84/x
  3. Step 3: Cross multiply
    167,584.40x = 251,040.02 × 77,500.84
  4. Step 4: Simplify right side
    167,584.40x = 19,455,812,036.11
  5. Step 5: Solve for x
    x = 19,455,812,036.11/167,584.40
  6. Step 6: Final answer
    x = 116,095.61

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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.