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Finding the Fourth Proportional to 284,774.04, 427,146.36 and 85,096.08

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Solution

The fourth proportional to 284,774.04, 427,146.36 and 85,096.08 is: 127,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,774.04 : 427,146.36 = 85,096.08 : x
  2. Step 2: Convert to fraction form
    284,774.04/427,146.36 = 85,096.08/x
  3. Step 3: Cross multiply
    284,774.04x = 427,146.36 × 85,096.08
  4. Step 4: Simplify right side
    284,774.04x = 36,348,480,822.27
  5. Step 5: Solve for x
    x = 36,348,480,822.27/284,774.04
  6. Step 6: Final answer
    x = 127,639.73

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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.