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Finding the Fourth Proportional to 153,408.60, 229,724.10 and 146,410.20

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Solution

The fourth proportional to 153,408.60, 229,724.10 and 146,410.20 is: 219,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408.60 : 229,724.10 = 146,410.20 : x
  2. Step 2: Convert to fraction form
    153,408.60/229,724.10 = 146,410.20/x
  3. Step 3: Cross multiply
    153,408.60x = 229,724.10 × 146,410.20
  4. Step 4: Simplify right side
    153,408.60x = 33,633,951,425.82
  5. Step 5: Solve for x
    x = 33,633,951,425.82/153,408.60
  6. Step 6: Final answer
    x = 219,244.24

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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.