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Finding the Fourth Proportional to 141,221.34, 211,867.86 and 65,374.56

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Solution

The fourth proportional to 141,221.34, 211,867.86 and 65,374.56 is: 98,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,221.34 : 211,867.86 = 65,374.56 : x
  2. Step 2: Convert to fraction form
    141,221.34/211,867.86 = 65,374.56/x
  3. Step 3: Cross multiply
    141,221.34x = 211,867.86 × 65,374.56
  4. Step 4: Simplify right side
    141,221.34x = 13,850,767,677.69
  5. Step 5: Solve for x
    x = 13,850,767,677.69/141,221.34
  6. Step 6: Final answer
    x = 98,078.43

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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.