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Finding the Fourth Proportional to 189,636.41, 284,287.61 and 77,410.95

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Solution

The fourth proportional to 189,636.41, 284,287.61 and 77,410.95 is: 116,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,636.41 : 284,287.61 = 77,410.95 : x
  2. Step 2: Convert to fraction form
    189,636.41/284,287.61 = 77,410.95/x
  3. Step 3: Cross multiply
    189,636.41x = 284,287.61 × 77,410.95
  4. Step 4: Simplify right side
    189,636.41x = 22,006,973,576.27
  5. Step 5: Solve for x
    x = 22,006,973,576.27/189,636.41
  6. Step 6: Final answer
    x = 116,048.25

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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.