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Finding the Fourth Proportional to 139,648.32, 192,780 and 89,376.48

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Solution

The fourth proportional to 139,648.32, 192,780 and 89,376.48 is: 123,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,648.32 : 192,780 = 89,376.48 : x
  2. Step 2: Convert to fraction form
    139,648.32/192,780 = 89,376.48/x
  3. Step 3: Cross multiply
    139,648.32x = 192,780 × 89,376.48
  4. Step 4: Simplify right side
    139,648.32x = 17,229,997,814.40
  5. Step 5: Solve for x
    x = 17,229,997,814.40/139,648.32
  6. Step 6: Final answer
    x = 123,381.35

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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.