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Finding the Fourth Proportional to 284,258.01, 426,381.17 and 94,732.14

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Solution

The fourth proportional to 284,258.01, 426,381.17 and 94,732.14 is: 142,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,258.01 : 426,381.17 = 94,732.14 : x
  2. Step 2: Convert to fraction form
    284,258.01/426,381.17 = 94,732.14/x
  3. Step 3: Cross multiply
    284,258.01x = 426,381.17 × 94,732.14
  4. Step 4: Simplify right side
    284,258.01x = 40,392,000,216.14
  5. Step 5: Solve for x
    x = 40,392,000,216.14/284,258.01
  6. Step 6: Final answer
    x = 142,096.26

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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.