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Finding the Fourth Proportional to 138,835.77, 191,582.28 and 78,412.29

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Solution

The fourth proportional to 138,835.77, 191,582.28 and 78,412.29 is: 108,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,835.77 : 191,582.28 = 78,412.29 : x
  2. Step 2: Convert to fraction form
    138,835.77/191,582.28 = 78,412.29/x
  3. Step 3: Cross multiply
    138,835.77x = 191,582.28 × 78,412.29
  4. Step 4: Simplify right side
    138,835.77x = 15,022,405,298.22
  5. Step 5: Solve for x
    x = 15,022,405,298.22/138,835.77
  6. Step 6: Final answer
    x = 108,202.70

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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.