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Finding the Fourth Proportional to 189,385.74, 284,030.01 and 56,229.84

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Solution

The fourth proportional to 189,385.74, 284,030.01 and 56,229.84 is: 84,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,385.74 : 284,030.01 = 56,229.84 : x
  2. Step 2: Convert to fraction form
    189,385.74/284,030.01 = 56,229.84/x
  3. Step 3: Cross multiply
    189,385.74x = 284,030.01 × 56,229.84
  4. Step 4: Simplify right side
    189,385.74x = 15,970,962,017.50
  5. Step 5: Solve for x
    x = 15,970,962,017.50/189,385.74
  6. Step 6: Final answer
    x = 84,330.33

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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.