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Finding the Fourth Proportional to 208,247.88, 312,307.14 and 75,110.82

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Solution

The fourth proportional to 208,247.88, 312,307.14 and 75,110.82 is: 112,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,247.88 : 312,307.14 = 75,110.82 : x
  2. Step 2: Convert to fraction form
    208,247.88/312,307.14 = 75,110.82/x
  3. Step 3: Cross multiply
    208,247.88x = 312,307.14 × 75,110.82
  4. Step 4: Simplify right side
    208,247.88x = 23,457,645,377.25
  5. Step 5: Solve for x
    x = 23,457,645,377.25/208,247.88
  6. Step 6: Final answer
    x = 112,642.90

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1.5x scale

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.