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Finding the Fourth Proportional to 203,263.64, 304,846.42 and 84,870.80

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Solution

The fourth proportional to 203,263.64, 304,846.42 and 84,870.80 is: 127,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,263.64 : 304,846.42 = 84,870.80 : x
  2. Step 2: Convert to fraction form
    203,263.64/304,846.42 = 84,870.80/x
  3. Step 3: Cross multiply
    203,263.64x = 304,846.42 × 84,870.80
  4. Step 4: Simplify right side
    203,263.64x = 25,872,559,542.54
  5. Step 5: Solve for x
    x = 25,872,559,542.54/203,263.64
  6. Step 6: Final answer
    x = 127,285.72

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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.