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Finding the Fourth Proportional to 284,804.64, 427,047.05 and 95,165.08

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Solution

The fourth proportional to 284,804.64, 427,047.05 and 95,165.08 is: 142,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,804.64 : 427,047.05 = 95,165.08 : x
  2. Step 2: Convert to fraction form
    284,804.64/427,047.05 = 95,165.08/x
  3. Step 3: Cross multiply
    284,804.64x = 427,047.05 × 95,165.08
  4. Step 4: Simplify right side
    284,804.64x = 40,639,965,847.31
  5. Step 5: Solve for x
    x = 40,639,965,847.31/284,804.64
  6. Step 6: Final answer
    x = 142,694.18

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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.