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Finding the Fourth Proportional to 207,904.40, 311,856.60 and 74,805.20

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Solution

The fourth proportional to 207,904.40, 311,856.60 and 74,805.20 is: 112,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904.40 : 311,856.60 = 74,805.20 : x
  2. Step 2: Convert to fraction form
    207,904.40/311,856.60 = 74,805.20/x
  3. Step 3: Cross multiply
    207,904.40x = 311,856.60 × 74,805.20
  4. Step 4: Simplify right side
    207,904.40x = 23,328,495,334.32
  5. Step 5: Solve for x
    x = 23,328,495,334.32/207,904.40
  6. Step 6: Final answer
    x = 112,207.80

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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.