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Finding the Fourth Proportional to 189,154.95, 284,053.81 and 126,378.48

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Solution

The fourth proportional to 189,154.95, 284,053.81 and 126,378.48 is: 189,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,154.95 : 284,053.81 = 126,378.48 : x
  2. Step 2: Convert to fraction form
    189,154.95/284,053.81 = 126,378.48/x
  3. Step 3: Cross multiply
    189,154.95x = 284,053.81 × 126,378.48
  4. Step 4: Simplify right side
    189,154.95x = 35,898,287,325.74
  5. Step 5: Solve for x
    x = 35,898,287,325.74/189,154.95
  6. Step 6: Final answer
    x = 189,782.44

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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.