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Finding the Fourth Proportional to 202,893.72, 304,392.48 and 118,724.76

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Solution

The fourth proportional to 202,893.72, 304,392.48 and 118,724.76 is: 178,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,893.72 : 304,392.48 = 118,724.76 : x
  2. Step 2: Convert to fraction form
    202,893.72/304,392.48 = 118,724.76/x
  3. Step 3: Cross multiply
    202,893.72x = 304,392.48 × 118,724.76
  4. Step 4: Simplify right side
    202,893.72x = 36,138,924,133.80
  5. Step 5: Solve for x
    x = 36,138,924,133.80/202,893.72
  6. Step 6: Final answer
    x = 178,117.51

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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.