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Finding the Fourth Proportional to 75,794.59, 113,940.96 and 70,314.03

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Solution

The fourth proportional to 75,794.59, 113,940.96 and 70,314.03 is: 105,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,794.59 : 113,940.96 = 70,314.03 : x
  2. Step 2: Convert to fraction form
    75,794.59/113,940.96 = 70,314.03/x
  3. Step 3: Cross multiply
    75,794.59x = 113,940.96 × 70,314.03
  4. Step 4: Simplify right side
    75,794.59x = 8,011,648,079.67
  5. Step 5: Solve for x
    x = 8,011,648,079.67/75,794.59
  6. Step 6: Final answer
    x = 105,702.11

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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.