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Finding the Fourth Proportional to 119,221.94, 178,860.60 and 34,978.70

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Solution

The fourth proportional to 119,221.94, 178,860.60 and 34,978.70 is: 52,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,221.94 : 178,860.60 = 34,978.70 : x
  2. Step 2: Convert to fraction form
    119,221.94/178,860.60 = 34,978.70/x
  3. Step 3: Cross multiply
    119,221.94x = 178,860.60 × 34,978.70
  4. Step 4: Simplify right side
    119,221.94x = 6,256,310,287.47
  5. Step 5: Solve for x
    x = 6,256,310,287.47/119,221.94
  6. Step 6: Final answer
    x = 52,476.17

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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.