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Finding the Fourth Proportional to 189,802.44, 284,723.10 and 71,573.22

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Solution

The fourth proportional to 189,802.44, 284,723.10 and 71,573.22 is: 107,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,802.44 : 284,723.10 = 71,573.22 : x
  2. Step 2: Convert to fraction form
    189,802.44/284,723.10 = 71,573.22/x
  3. Step 3: Cross multiply
    189,802.44x = 284,723.10 × 71,573.22
  4. Step 4: Simplify right side
    189,802.44x = 20,378,549,075.38
  5. Step 5: Solve for x
    x = 20,378,549,075.38/189,802.44
  6. Step 6: Final answer
    x = 107,367.16

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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.