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Finding the Fourth Proportional to 189,922.50, 284,778.59 and 77,681.54

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Solution

The fourth proportional to 189,922.50, 284,778.59 and 77,681.54 is: 116,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,922.50 : 284,778.59 = 77,681.54 : x
  2. Step 2: Convert to fraction form
    189,922.50/284,778.59 = 77,681.54/x
  3. Step 3: Cross multiply
    189,922.50x = 284,778.59 × 77,681.54
  4. Step 4: Simplify right side
    189,922.50x = 22,122,037,617.93
  5. Step 5: Solve for x
    x = 22,122,037,617.93/189,922.50
  6. Step 6: Final answer
    x = 116,479.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.