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Finding the Fourth Proportional to 200,903.16, 301,360.95 and 101,067.42

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Solution

The fourth proportional to 200,903.16, 301,360.95 and 101,067.42 is: 151,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,903.16 : 301,360.95 = 101,067.42 : x
  2. Step 2: Convert to fraction form
    200,903.16/301,360.95 = 101,067.42/x
  3. Step 3: Cross multiply
    200,903.16x = 301,360.95 × 101,067.42
  4. Step 4: Simplify right side
    200,903.16x = 30,457,773,705.25
  5. Step 5: Solve for x
    x = 30,457,773,705.25/200,903.16
  6. Step 6: Final answer
    x = 151,604.25

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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.