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Finding the Fourth Proportional to 119,289, 164,618.82 and 69,017.16

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Solution

The fourth proportional to 119,289, 164,618.82 and 69,017.16 is: 95,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289 : 164,618.82 = 69,017.16 : x
  2. Step 2: Convert to fraction form
    119,289/164,618.82 = 69,017.16/x
  3. Step 3: Cross multiply
    119,289x = 164,618.82 × 69,017.16
  4. Step 4: Simplify right side
    119,289x = 11,361,523,438.95
  5. Step 5: Solve for x
    x = 11,361,523,438.95/119,289
  6. Step 6: Final answer
    x = 95,243.68

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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.