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Finding the Fourth Proportional to 75,853.70, 105,998.35 and 75,853.70

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Solution

The fourth proportional to 75,853.70, 105,998.35 and 75,853.70 is: 105,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,853.70 : 105,998.35 = 75,853.70 : x
  2. Step 2: Convert to fraction form
    75,853.70/105,998.35 = 75,853.70/x
  3. Step 3: Cross multiply
    75,853.70x = 105,998.35 × 75,853.70
  4. Step 4: Simplify right side
    75,853.70x = 8,040,367,041.40
  5. Step 5: Solve for x
    x = 8,040,367,041.40/75,853.70
  6. Step 6: Final answer
    x = 105,998.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.