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Finding the Fourth Proportional to 272,847.09, 409,251.57 and 102,036.30

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Solution

The fourth proportional to 272,847.09, 409,251.57 and 102,036.30 is: 153,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,847.09 : 409,251.57 = 102,036.30 : x
  2. Step 2: Convert to fraction form
    272,847.09/409,251.57 = 102,036.30/x
  3. Step 3: Cross multiply
    272,847.09x = 409,251.57 × 102,036.30
  4. Step 4: Simplify right side
    272,847.09x = 41,758,513,925.73
  5. Step 5: Solve for x
    x = 41,758,513,925.73/272,847.09
  6. Step 6: Final answer
    x = 153,047.31

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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.