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Finding the Fourth Proportional to 284,077.42, 425,816.56 and 94,487.16

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Solution

The fourth proportional to 284,077.42, 425,816.56 and 94,487.16 is: 141,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,077.42 : 425,816.56 = 94,487.16 : x
  2. Step 2: Convert to fraction form
    284,077.42/425,816.56 = 94,487.16/x
  3. Step 3: Cross multiply
    284,077.42x = 425,816.56 × 94,487.16
  4. Step 4: Simplify right side
    284,077.42x = 40,234,197,435.37
  5. Step 5: Solve for x
    x = 40,234,197,435.37/284,077.42
  6. Step 6: Final answer
    x = 141,631.10

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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.