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Finding the Fourth Proportional to 139,780.07, 192,904.59 and 105,263

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Solution

The fourth proportional to 139,780.07, 192,904.59 and 105,263 is: 145,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,780.07 : 192,904.59 = 105,263 : x
  2. Step 2: Convert to fraction form
    139,780.07/192,904.59 = 105,263/x
  3. Step 3: Cross multiply
    139,780.07x = 192,904.59 × 105,263
  4. Step 4: Simplify right side
    139,780.07x = 20,305,715,857.17
  5. Step 5: Solve for x
    x = 20,305,715,857.17/139,780.07
  6. Step 6: Final answer
    x = 145,269.04

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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.