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Finding the Fourth Proportional to 120,338.36, 166,065.80 and 69,332.36

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Solution

The fourth proportional to 120,338.36, 166,065.80 and 69,332.36 is: 95,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,338.36 : 166,065.80 = 69,332.36 : x
  2. Step 2: Convert to fraction form
    120,338.36/166,065.80 = 69,332.36/x
  3. Step 3: Cross multiply
    120,338.36x = 166,065.80 × 69,332.36
  4. Step 4: Simplify right side
    120,338.36x = 11,513,733,829.29
  5. Step 5: Solve for x
    x = 11,513,733,829.29/120,338.36
  6. Step 6: Final answer
    x = 95,678.00

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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.