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Finding the Fourth Proportional to 201,614.02, 302,464.77 and 61,369

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Solution

The fourth proportional to 201,614.02, 302,464.77 and 61,369 is: 92,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614.02 : 302,464.77 = 61,369 : x
  2. Step 2: Convert to fraction form
    201,614.02/302,464.77 = 61,369/x
  3. Step 3: Cross multiply
    201,614.02x = 302,464.77 × 61,369
  4. Step 4: Simplify right side
    201,614.02x = 18,561,960,470.13
  5. Step 5: Solve for x
    x = 18,561,960,470.13/201,614.02
  6. Step 6: Final answer
    x = 92,066.81

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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.