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Finding the Fourth Proportional to 276,810.80, 415,216.20 and 89,822.30

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Solution

The fourth proportional to 276,810.80, 415,216.20 and 89,822.30 is: 134,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810.80 : 415,216.20 = 89,822.30 : x
  2. Step 2: Convert to fraction form
    276,810.80/415,216.20 = 89,822.30/x
  3. Step 3: Cross multiply
    276,810.80x = 415,216.20 × 89,822.30
  4. Step 4: Simplify right side
    276,810.80x = 37,295,674,081.26
  5. Step 5: Solve for x
    x = 37,295,674,081.26/276,810.80
  6. Step 6: Final answer
    x = 134,733.45

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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.