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Finding the Fourth Proportional to 200,393.95, 300,793.47 and 177,746.30

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Solution

The fourth proportional to 200,393.95, 300,793.47 and 177,746.30 is: 266,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,393.95 : 300,793.47 = 177,746.30 : x
  2. Step 2: Convert to fraction form
    200,393.95/300,793.47 = 177,746.30/x
  3. Step 3: Cross multiply
    200,393.95x = 300,793.47 × 177,746.30
  4. Step 4: Simplify right side
    200,393.95x = 53,464,924,852.69
  5. Step 5: Solve for x
    x = 53,464,924,852.69/200,393.95
  6. Step 6: Final answer
    x = 266,799.10

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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.