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Finding the Fourth Proportional to 201,794.16, 302,649.90 and 75,411.06

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Solution

The fourth proportional to 201,794.16, 302,649.90 and 75,411.06 is: 113,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794.16 : 302,649.90 = 75,411.06 : x
  2. Step 2: Convert to fraction form
    201,794.16/302,649.90 = 75,411.06/x
  3. Step 3: Cross multiply
    201,794.16x = 302,649.90 × 75,411.06
  4. Step 4: Simplify right side
    201,794.16x = 22,823,149,767.89
  5. Step 5: Solve for x
    x = 22,823,149,767.89/201,794.16
  6. Step 6: Final answer
    x = 113,101.14

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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.