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Finding the Fourth Proportional to 141,910.68, 212,866.86 and 42,071.74

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Solution

The fourth proportional to 141,910.68, 212,866.86 and 42,071.74 is: 63,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,910.68 : 212,866.86 = 42,071.74 : x
  2. Step 2: Convert to fraction form
    141,910.68/212,866.86 = 42,071.74/x
  3. Step 3: Cross multiply
    141,910.68x = 212,866.86 × 42,071.74
  4. Step 4: Simplify right side
    141,910.68x = 8,955,679,188.54
  5. Step 5: Solve for x
    x = 8,955,679,188.54/141,910.68
  6. Step 6: Final answer
    x = 63,107.86

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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.