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Finding the Fourth Proportional to 189,866.40, 284,713.20 and 101,097.12

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Solution

The fourth proportional to 189,866.40, 284,713.20 and 101,097.12 is: 151,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,866.40 : 284,713.20 = 101,097.12 : x
  2. Step 2: Convert to fraction form
    189,866.40/284,713.20 = 101,097.12/x
  3. Step 3: Cross multiply
    189,866.40x = 284,713.20 × 101,097.12
  4. Step 4: Simplify right side
    189,866.40x = 28,783,684,545.98
  5. Step 5: Solve for x
    x = 28,783,684,545.98/189,866.40
  6. Step 6: Final answer
    x = 151,599.68

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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.