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Finding the Fourth Proportional to 208,894.82, 288,280.76 and 113,407.74

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Solution

The fourth proportional to 208,894.82, 288,280.76 and 113,407.74 is: 156,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,894.82 : 288,280.76 = 113,407.74 : x
  2. Step 2: Convert to fraction form
    208,894.82/288,280.76 = 113,407.74/x
  3. Step 3: Cross multiply
    208,894.82x = 288,280.76 × 113,407.74
  4. Step 4: Simplify right side
    208,894.82x = 32,693,268,910.04
  5. Step 5: Solve for x
    x = 32,693,268,910.04/208,894.82
  6. Step 6: Final answer
    x = 156,505.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.