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Finding the Fourth Proportional to 189,614.65, 284,423.10 and 63,254.59

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Solution

The fourth proportional to 189,614.65, 284,423.10 and 63,254.59 is: 94,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,614.65 : 284,423.10 = 63,254.59 : x
  2. Step 2: Convert to fraction form
    189,614.65/284,423.10 = 63,254.59/x
  3. Step 3: Cross multiply
    189,614.65x = 284,423.10 × 63,254.59
  4. Step 4: Simplify right side
    189,614.65x = 17,991,066,577.03
  5. Step 5: Solve for x
    x = 17,991,066,577.03/189,614.65
  6. Step 6: Final answer
    x = 94,882.26

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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.