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Finding the Fourth Proportional to 203,206.70, 304,810.05 and 84,877.10

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Solution

The fourth proportional to 203,206.70, 304,810.05 and 84,877.10 is: 127,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,206.70 : 304,810.05 = 84,877.10 : x
  2. Step 2: Convert to fraction form
    203,206.70/304,810.05 = 84,877.10/x
  3. Step 3: Cross multiply
    203,206.70x = 304,810.05 × 84,877.10
  4. Step 4: Simplify right side
    203,206.70x = 25,871,393,094.86
  5. Step 5: Solve for x
    x = 25,871,393,094.86/203,206.70
  6. Step 6: Final answer
    x = 127,315.65

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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.