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Finding the Fourth Proportional to 139,490.10, 192,494.07 and 75,829.50

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Solution

The fourth proportional to 139,490.10, 192,494.07 and 75,829.50 is: 104,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,490.10 : 192,494.07 = 75,829.50 : x
  2. Step 2: Convert to fraction form
    139,490.10/192,494.07 = 75,829.50/x
  3. Step 3: Cross multiply
    139,490.10x = 192,494.07 × 75,829.50
  4. Step 4: Simplify right side
    139,490.10x = 14,596,729,081.07
  5. Step 5: Solve for x
    x = 14,596,729,081.07/139,490.10
  6. Step 6: Final answer
    x = 104,643.48

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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.