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Finding the Fourth Proportional to 177,824.30, 266,736.45 and 128,252.30

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Solution

The fourth proportional to 177,824.30, 266,736.45 and 128,252.30 is: 192,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,824.30 : 266,736.45 = 128,252.30 : x
  2. Step 2: Convert to fraction form
    177,824.30/266,736.45 = 128,252.30/x
  3. Step 3: Cross multiply
    177,824.30x = 266,736.45 × 128,252.30
  4. Step 4: Simplify right side
    177,824.30x = 34,209,563,206.34
  5. Step 5: Solve for x
    x = 34,209,563,206.34/177,824.30
  6. Step 6: Final answer
    x = 192,378.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.