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Finding the Fourth Proportional to 284,823.62, 427,321.07 and 85,150.50

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Solution

The fourth proportional to 284,823.62, 427,321.07 and 85,150.50 is: 127,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,823.62 : 427,321.07 = 85,150.50 : x
  2. Step 2: Convert to fraction form
    284,823.62/427,321.07 = 85,150.50/x
  3. Step 3: Cross multiply
    284,823.62x = 427,321.07 × 85,150.50
  4. Step 4: Simplify right side
    284,823.62x = 36,386,602,771.04
  5. Step 5: Solve for x
    x = 36,386,602,771.04/284,823.62
  6. Step 6: Final answer
    x = 127,751.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.