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Finding the Fourth Proportional to 141,426.83, 211,853.81 and 65,417.39

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Solution

The fourth proportional to 141,426.83, 211,853.81 and 65,417.39 is: 97,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,426.83 : 211,853.81 = 65,417.39 : x
  2. Step 2: Convert to fraction form
    141,426.83/211,853.81 = 65,417.39/x
  3. Step 3: Cross multiply
    141,426.83x = 211,853.81 × 65,417.39
  4. Step 4: Simplify right side
    141,426.83x = 13,858,922,984.67
  5. Step 5: Solve for x
    x = 13,858,922,984.67/141,426.83
  6. Step 6: Final answer
    x = 97,993.59

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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.