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Finding the Fourth Proportional to 202,003.70, 302,422.35 and 123,271.70

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Solution

The fourth proportional to 202,003.70, 302,422.35 and 123,271.70 is: 184,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.70 : 302,422.35 = 123,271.70 : x
  2. Step 2: Convert to fraction form
    202,003.70/302,422.35 = 123,271.70/x
  3. Step 3: Cross multiply
    202,003.70x = 302,422.35 × 123,271.70
  4. Step 4: Simplify right side
    202,003.70x = 37,280,117,202.50
  5. Step 5: Solve for x
    x = 37,280,117,202.50/202,003.70
  6. Step 6: Final answer
    x = 184,551.66

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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.