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Finding the Fourth Proportional to 189,758.81, 284,391.27 and 77,307.32

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Solution

The fourth proportional to 189,758.81, 284,391.27 and 77,307.32 is: 115,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,758.81 : 284,391.27 = 77,307.32 : x
  2. Step 2: Convert to fraction form
    189,758.81/284,391.27 = 77,307.32/x
  3. Step 3: Cross multiply
    189,758.81x = 284,391.27 × 77,307.32
  4. Step 4: Simplify right side
    189,758.81x = 21,985,527,626.07
  5. Step 5: Solve for x
    x = 21,985,527,626.07/189,758.81
  6. Step 6: Final answer
    x = 115,860.38

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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.