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Finding the Fourth Proportional to 189,306.64, 284,068.50 and 76,966.12

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Solution

The fourth proportional to 189,306.64, 284,068.50 and 76,966.12 is: 115,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,306.64 : 284,068.50 = 76,966.12 : x
  2. Step 2: Convert to fraction form
    189,306.64/284,068.50 = 76,966.12/x
  3. Step 3: Cross multiply
    189,306.64x = 284,068.50 × 76,966.12
  4. Step 4: Simplify right side
    189,306.64x = 21,863,650,259.22
  5. Step 5: Solve for x
    x = 21,863,650,259.22/189,306.64
  6. Step 6: Final answer
    x = 115,493.31

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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.