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Finding the Fourth Proportional to 162,822.30, 244,233.45 and 146,492.70

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Solution

The fourth proportional to 162,822.30, 244,233.45 and 146,492.70 is: 219,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,822.30 : 244,233.45 = 146,492.70 : x
  2. Step 2: Convert to fraction form
    162,822.30/244,233.45 = 146,492.70/x
  3. Step 3: Cross multiply
    162,822.30x = 244,233.45 × 146,492.70
  4. Step 4: Simplify right side
    162,822.30x = 35,778,417,520.82
  5. Step 5: Solve for x
    x = 35,778,417,520.82/162,822.30
  6. Step 6: Final answer
    x = 219,739.05

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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.