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Finding the Fourth Proportional to 299,089.20, 412,731.64 and 164,953.20

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Solution

The fourth proportional to 299,089.20, 412,731.64 and 164,953.20 is: 227,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089.20 : 412,731.64 = 164,953.20 : x
  2. Step 2: Convert to fraction form
    299,089.20/412,731.64 = 164,953.20/x
  3. Step 3: Cross multiply
    299,089.20x = 412,731.64 × 164,953.20
  4. Step 4: Simplify right side
    299,089.20x = 68,081,404,759.25
  5. Step 5: Solve for x
    x = 68,081,404,759.25/299,089.20
  6. Step 6: Final answer
    x = 227,629.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.