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Finding the Fourth Proportional to 141,956.16, 212,934.24 and 36,775.14

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Solution

The fourth proportional to 141,956.16, 212,934.24 and 36,775.14 is: 55,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,956.16 : 212,934.24 = 36,775.14 : x
  2. Step 2: Convert to fraction form
    141,956.16/212,934.24 = 36,775.14/x
  3. Step 3: Cross multiply
    141,956.16x = 212,934.24 × 36,775.14
  4. Step 4: Simplify right side
    141,956.16x = 7,830,686,486.79
  5. Step 5: Solve for x
    x = 7,830,686,486.79/141,956.16
  6. Step 6: Final answer
    x = 55,162.71

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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.