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Finding the Fourth Proportional to 202,772.64, 304,054.64 and 118,551.36

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Solution

The fourth proportional to 202,772.64, 304,054.64 and 118,551.36 is: 177,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,772.64 : 304,054.64 = 118,551.36 : x
  2. Step 2: Convert to fraction form
    202,772.64/304,054.64 = 118,551.36/x
  3. Step 3: Cross multiply
    202,772.64x = 304,054.64 × 118,551.36
  4. Step 4: Simplify right side
    202,772.64x = 36,046,091,086.31
  5. Step 5: Solve for x
    x = 36,046,091,086.31/202,772.64
  6. Step 6: Final answer
    x = 177,766.05

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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.