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Finding the Fourth Proportional to 153,906.70, 230,860.05 and 151,282.30

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Solution

The fourth proportional to 153,906.70, 230,860.05 and 151,282.30 is: 226,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906.70 : 230,860.05 = 151,282.30 : x
  2. Step 2: Convert to fraction form
    153,906.70/230,860.05 = 151,282.30/x
  3. Step 3: Cross multiply
    153,906.70x = 230,860.05 × 151,282.30
  4. Step 4: Simplify right side
    153,906.70x = 34,925,039,342.12
  5. Step 5: Solve for x
    x = 34,925,039,342.12/153,906.70
  6. Step 6: Final answer
    x = 226,923.45

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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.