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Finding the Fourth Proportional to 141,066, 193,262.58 and 135,752.40

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Solution

The fourth proportional to 141,066, 193,262.58 and 135,752.40 is: 185,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,066 : 193,262.58 = 135,752.40 : x
  2. Step 2: Convert to fraction form
    141,066/193,262.58 = 135,752.40/x
  3. Step 3: Cross multiply
    141,066x = 193,262.58 × 135,752.40
  4. Step 4: Simplify right side
    141,066x = 26,235,859,065.19
  5. Step 5: Solve for x
    x = 26,235,859,065.19/141,066
  6. Step 6: Final answer
    x = 185,982.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.