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Finding the Fourth Proportional to 150,908.20, 226,362.30 and 97,764.10

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Solution

The fourth proportional to 150,908.20, 226,362.30 and 97,764.10 is: 146,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,908.20 : 226,362.30 = 97,764.10 : x
  2. Step 2: Convert to fraction form
    150,908.20/226,362.30 = 97,764.10/x
  3. Step 3: Cross multiply
    150,908.20x = 226,362.30 × 97,764.10
  4. Step 4: Simplify right side
    150,908.20x = 22,130,106,533.43
  5. Step 5: Solve for x
    x = 22,130,106,533.43/150,908.20
  6. Step 6: Final answer
    x = 146,646.15

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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.