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Finding the Fourth Proportional to 192,833.34, 289,139.27 and 102,765.16

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Solution

The fourth proportional to 192,833.34, 289,139.27 and 102,765.16 is: 154,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,833.34 : 289,139.27 = 102,765.16 : x
  2. Step 2: Convert to fraction form
    192,833.34/289,139.27 = 102,765.16/x
  3. Step 3: Cross multiply
    192,833.34x = 289,139.27 × 102,765.16
  4. Step 4: Simplify right side
    192,833.34x = 29,713,443,343.83
  5. Step 5: Solve for x
    x = 29,713,443,343.83/192,833.34
  6. Step 6: Final answer
    x = 154,088.72

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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.