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Finding the Fourth Proportional to 120,455.94, 166,252.38 and 69,501.60

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Solution

The fourth proportional to 120,455.94, 166,252.38 and 69,501.60 is: 95,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,455.94 : 166,252.38 = 69,501.60 : x
  2. Step 2: Convert to fraction form
    120,455.94/166,252.38 = 69,501.60/x
  3. Step 3: Cross multiply
    120,455.94x = 166,252.38 × 69,501.60
  4. Step 4: Simplify right side
    120,455.94x = 11,554,806,413.81
  5. Step 5: Solve for x
    x = 11,554,806,413.81/120,455.94
  6. Step 6: Final answer
    x = 95,925.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.