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Finding the Fourth Proportional to 208,514.76, 287,751.90 and 113,022.14

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Solution

The fourth proportional to 208,514.76, 287,751.90 and 113,022.14 is: 155,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514.76 : 287,751.90 = 113,022.14 : x
  2. Step 2: Convert to fraction form
    208,514.76/287,751.90 = 113,022.14/x
  3. Step 3: Cross multiply
    208,514.76x = 287,751.90 × 113,022.14
  4. Step 4: Simplify right side
    208,514.76x = 32,522,335,527.07
  5. Step 5: Solve for x
    x = 32,522,335,527.07/208,514.76
  6. Step 6: Final answer
    x = 155,971.38

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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.