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Finding the Fourth Proportional to 130,769.69, 180,415.76 and 85,473.83

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Solution

The fourth proportional to 130,769.69, 180,415.76 and 85,473.83 is: 117,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,769.69 : 180,415.76 = 85,473.83 : x
  2. Step 2: Convert to fraction form
    130,769.69/180,415.76 = 85,473.83/x
  3. Step 3: Cross multiply
    130,769.69x = 180,415.76 × 85,473.83
  4. Step 4: Simplify right side
    130,769.69x = 15,420,824,670.11
  5. Step 5: Solve for x
    x = 15,420,824,670.11/130,769.69
  6. Step 6: Final answer
    x = 117,923.54

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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.