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Finding the Fourth Proportional to 134,833.40, 186,107.10 and 78,263

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Solution

The fourth proportional to 134,833.40, 186,107.10 and 78,263 is: 108,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,833.40 : 186,107.10 = 78,263 : x
  2. Step 2: Convert to fraction form
    134,833.40/186,107.10 = 78,263/x
  3. Step 3: Cross multiply
    134,833.40x = 186,107.10 × 78,263
  4. Step 4: Simplify right side
    134,833.40x = 14,565,299,967.30
  5. Step 5: Solve for x
    x = 14,565,299,967.30/134,833.40
  6. Step 6: Final answer
    x = 108,024.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.