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Finding the Fourth Proportional to 284,293.51, 426,297.66 and 94,687.22

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Solution

The fourth proportional to 284,293.51, 426,297.66 and 94,687.22 is: 141,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,293.51 : 426,297.66 = 94,687.22 : x
  2. Step 2: Convert to fraction form
    284,293.51/426,297.66 = 94,687.22/x
  3. Step 3: Cross multiply
    284,293.51x = 426,297.66 × 94,687.22
  4. Step 4: Simplify right side
    284,293.51x = 40,364,941,028.57
  5. Step 5: Solve for x
    x = 40,364,941,028.57/284,293.51
  6. Step 6: Final answer
    x = 141,983.34

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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.