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Finding the Fourth Proportional to 208,201.95, 312,256.17 and 95,774.18

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Solution

The fourth proportional to 208,201.95, 312,256.17 and 95,774.18 is: 143,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,201.95 : 312,256.17 = 95,774.18 : x
  2. Step 2: Convert to fraction form
    208,201.95/312,256.17 = 95,774.18/x
  3. Step 3: Cross multiply
    208,201.95x = 312,256.17 × 95,774.18
  4. Step 4: Simplify right side
    208,201.95x = 29,906,077,070.41
  5. Step 5: Solve for x
    x = 29,906,077,070.41/208,201.95
  6. Step 6: Final answer
    x = 143,639.75

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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.