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Finding the Fourth Proportional to 151,477.20, 227,215.80 and 109,486.80

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Solution

The fourth proportional to 151,477.20, 227,215.80 and 109,486.80 is: 164,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,477.20 : 227,215.80 = 109,486.80 : x
  2. Step 2: Convert to fraction form
    151,477.20/227,215.80 = 109,486.80/x
  3. Step 3: Cross multiply
    151,477.20x = 227,215.80 × 109,486.80
  4. Step 4: Simplify right side
    151,477.20x = 24,877,130,851.44
  5. Step 5: Solve for x
    x = 24,877,130,851.44/151,477.20
  6. Step 6: Final answer
    x = 164,230.20

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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.