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Finding the Fourth Proportional to 83,710.80, 125,857.80 and 70,880.40

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Solution

The fourth proportional to 83,710.80, 125,857.80 and 70,880.40 is: 106,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,710.80 : 125,857.80 = 70,880.40 : x
  2. Step 2: Convert to fraction form
    83,710.80/125,857.80 = 70,880.40/x
  3. Step 3: Cross multiply
    83,710.80x = 125,857.80 × 70,880.40
  4. Step 4: Simplify right side
    83,710.80x = 8,920,851,207.12
  5. Step 5: Solve for x
    x = 8,920,851,207.12/83,710.80
  6. Step 6: Final answer
    x = 106,567.51

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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.