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Finding the Fourth Proportional to 189,900.17, 284,888.67 and 84,719.13

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Solution

The fourth proportional to 189,900.17, 284,888.67 and 84,719.13 is: 127,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,900.17 : 284,888.67 = 84,719.13 : x
  2. Step 2: Convert to fraction form
    189,900.17/284,888.67 = 84,719.13/x
  3. Step 3: Cross multiply
    189,900.17x = 284,888.67 × 84,719.13
  4. Step 4: Simplify right side
    189,900.17x = 24,135,520,269.26
  5. Step 5: Solve for x
    x = 24,135,520,269.26/189,900.17
  6. Step 6: Final answer
    x = 127,095.83

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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.