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Finding the Fourth Proportional to 305,122.52, 421,030.08 and 169,155.20

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Solution

The fourth proportional to 305,122.52, 421,030.08 and 169,155.20 is: 233,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,122.52 : 421,030.08 = 169,155.20 : x
  2. Step 2: Convert to fraction form
    305,122.52/421,030.08 = 169,155.20/x
  3. Step 3: Cross multiply
    305,122.52x = 421,030.08 × 169,155.20
  4. Step 4: Simplify right side
    305,122.52x = 71,219,427,388.42
  5. Step 5: Solve for x
    x = 71,219,427,388.42/305,122.52
  6. Step 6: Final answer
    x = 233,412.56

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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.