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Finding the Fourth Proportional to 178,308, 267,281.82 and 111,794.76

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Solution

The fourth proportional to 178,308, 267,281.82 and 111,794.76 is: 167,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,308 : 267,281.82 = 111,794.76 : x
  2. Step 2: Convert to fraction form
    178,308/267,281.82 = 111,794.76/x
  3. Step 3: Cross multiply
    178,308x = 267,281.82 × 111,794.76
  4. Step 4: Simplify right side
    178,308x = 29,880,706,919.26
  5. Step 5: Solve for x
    x = 29,880,706,919.26/178,308
  6. Step 6: Final answer
    x = 167,579.17

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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.