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Finding the Fourth Proportional to 204,032.40, 306,048.60 and 181,287.60

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Solution

The fourth proportional to 204,032.40, 306,048.60 and 181,287.60 is: 271,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032.40 : 306,048.60 = 181,287.60 : x
  2. Step 2: Convert to fraction form
    204,032.40/306,048.60 = 181,287.60/x
  3. Step 3: Cross multiply
    204,032.40x = 306,048.60 × 181,287.60
  4. Step 4: Simplify right side
    204,032.40x = 55,482,816,177.36
  5. Step 5: Solve for x
    x = 55,482,816,177.36/204,032.40
  6. Step 6: Final answer
    x = 271,931.40

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Why These Related Problems?

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