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Finding the Fourth Proportional to 128,412, 177,209.25 and 71,823.36

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Solution

The fourth proportional to 128,412, 177,209.25 and 71,823.36 is: 99,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412 : 177,209.25 = 71,823.36 : x
  2. Step 2: Convert to fraction form
    128,412/177,209.25 = 71,823.36/x
  3. Step 3: Cross multiply
    128,412x = 177,209.25 × 71,823.36
  4. Step 4: Simplify right side
    128,412x = 12,727,763,758.08
  5. Step 5: Solve for x
    x = 12,727,763,758.08/128,412
  6. Step 6: Final answer
    x = 99,116.62

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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.