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Finding the Fourth Proportional to 201,702, 278,348.76 and 116,846.40

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Solution

The fourth proportional to 201,702, 278,348.76 and 116,846.40 is: 161,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702 : 278,348.76 = 116,846.40 : x
  2. Step 2: Convert to fraction form
    201,702/278,348.76 = 116,846.40/x
  3. Step 3: Cross multiply
    201,702x = 278,348.76 × 116,846.40
  4. Step 4: Simplify right side
    201,702x = 32,524,050,550.46
  5. Step 5: Solve for x
    x = 32,524,050,550.46/201,702
  6. Step 6: Final answer
    x = 161,248.03

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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.