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Finding the Fourth Proportional to 141,904.68, 212,857.86 and 42,065.72

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Solution

The fourth proportional to 141,904.68, 212,857.86 and 42,065.72 is: 63,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,904.68 : 212,857.86 = 42,065.72 : x
  2. Step 2: Convert to fraction form
    141,904.68/212,857.86 = 42,065.72/x
  3. Step 3: Cross multiply
    141,904.68x = 212,857.86 × 42,065.72
  4. Step 4: Simplify right side
    141,904.68x = 8,954,019,670.70
  5. Step 5: Solve for x
    x = 8,954,019,670.70/141,904.68
  6. Step 6: Final answer
    x = 63,098.83

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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.