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Finding the Fourth Proportional to 138,503.85, 191,123.83 and 78,089.34

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Solution

The fourth proportional to 138,503.85, 191,123.83 and 78,089.34 is: 107,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,503.85 : 191,123.83 = 78,089.34 : x
  2. Step 2: Convert to fraction form
    138,503.85/191,123.83 = 78,089.34/x
  3. Step 3: Cross multiply
    138,503.85x = 191,123.83 × 78,089.34
  4. Step 4: Simplify right side
    138,503.85x = 14,924,733,742.97
  5. Step 5: Solve for x
    x = 14,924,733,742.97/138,503.85
  6. Step 6: Final answer
    x = 107,756.82

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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.