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Finding the Fourth Proportional to 284,476.80, 426,844.80 and 134,659.20

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Solution

The fourth proportional to 284,476.80, 426,844.80 and 134,659.20 is: 202,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,476.80 : 426,844.80 = 134,659.20 : x
  2. Step 2: Convert to fraction form
    284,476.80/426,844.80 = 134,659.20/x
  3. Step 3: Cross multiply
    284,476.80x = 426,844.80 × 134,659.20
  4. Step 4: Simplify right side
    284,476.80x = 57,478,579,292.16
  5. Step 5: Solve for x
    x = 57,478,579,292.16/284,476.80
  6. Step 6: Final answer
    x = 202,050.15

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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.