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Finding the Fourth Proportional to 203,203.94, 304,820.49 and 70,082.24

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Solution

The fourth proportional to 203,203.94, 304,820.49 and 70,082.24 is: 105,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,203.94 : 304,820.49 = 70,082.24 : x
  2. Step 2: Convert to fraction form
    203,203.94/304,820.49 = 70,082.24/x
  3. Step 3: Cross multiply
    203,203.94x = 304,820.49 × 70,082.24
  4. Step 4: Simplify right side
    203,203.94x = 21,362,502,737.10
  5. Step 5: Solve for x
    x = 21,362,502,737.10/203,203.94
  6. Step 6: Final answer
    x = 105,128.39

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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.