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Finding the Fourth Proportional to 202,156.80, 303,344.55 and 83,840.10

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Solution

The fourth proportional to 202,156.80, 303,344.55 and 83,840.10 is: 125,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,156.80 : 303,344.55 = 83,840.10 : x
  2. Step 2: Convert to fraction form
    202,156.80/303,344.55 = 83,840.10/x
  3. Step 3: Cross multiply
    202,156.80x = 303,344.55 × 83,840.10
  4. Step 4: Simplify right side
    202,156.80x = 25,432,437,406.46
  5. Step 5: Solve for x
    x = 25,432,437,406.46/202,156.80
  6. Step 6: Final answer
    x = 125,805.50

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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.