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Finding the Fourth Proportional to 299,036.25, 412,670.03 and 164,900.25

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Solution

The fourth proportional to 299,036.25, 412,670.03 and 164,900.25 is: 227,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,036.25 : 412,670.03 = 164,900.25 : x
  2. Step 2: Convert to fraction form
    299,036.25/412,670.03 = 164,900.25/x
  3. Step 3: Cross multiply
    299,036.25x = 412,670.03 × 164,900.25
  4. Step 4: Simplify right side
    299,036.25x = 68,049,390,290.01
  5. Step 5: Solve for x
    x = 68,049,390,290.01/299,036.25
  6. Step 6: Final answer
    x = 227,562.35

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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.