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Finding the Fourth Proportional to 189,354.11, 284,030.31 and 77,033.40

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Solution

The fourth proportional to 189,354.11, 284,030.31 and 77,033.40 is: 115,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,354.11 : 284,030.31 = 77,033.40 : x
  2. Step 2: Convert to fraction form
    189,354.11/284,030.31 = 77,033.40/x
  3. Step 3: Cross multiply
    189,354.11x = 284,030.31 × 77,033.40
  4. Step 4: Simplify right side
    189,354.11x = 21,879,819,706.12
  5. Step 5: Solve for x
    x = 21,879,819,706.12/189,354.11
  6. Step 6: Final answer
    x = 115,549.75

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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.