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Finding the Fourth Proportional to 135,112.86, 186,466.05 and 77,769.72

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Solution

The fourth proportional to 135,112.86, 186,466.05 and 77,769.72 is: 107,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,112.86 : 186,466.05 = 77,769.72 : x
  2. Step 2: Convert to fraction form
    135,112.86/186,466.05 = 77,769.72/x
  3. Step 3: Cross multiply
    135,112.86x = 186,466.05 × 77,769.72
  4. Step 4: Simplify right side
    135,112.86x = 14,501,412,498.01
  5. Step 5: Solve for x
    x = 14,501,412,498.01/135,112.86
  6. Step 6: Final answer
    x = 107,328.14

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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.