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Finding the Fourth Proportional to 203,175.82, 304,783.78 and 70,038.56

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Solution

The fourth proportional to 203,175.82, 304,783.78 and 70,038.56 is: 105,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,175.82 : 304,783.78 = 70,038.56 : x
  2. Step 2: Convert to fraction form
    203,175.82/304,783.78 = 70,038.56/x
  3. Step 3: Cross multiply
    203,175.82x = 304,783.78 × 70,038.56
  4. Step 4: Simplify right side
    203,175.82x = 21,346,617,062.56
  5. Step 5: Solve for x
    x = 21,346,617,062.56/203,175.82
  6. Step 6: Final answer
    x = 105,064.75

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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.