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Finding the Fourth Proportional to 221,856.30, 333,003.15 and 109,663.20

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Solution

The fourth proportional to 221,856.30, 333,003.15 and 109,663.20 is: 164,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,856.30 : 333,003.15 = 109,663.20 : x
  2. Step 2: Convert to fraction form
    221,856.30/333,003.15 = 109,663.20/x
  3. Step 3: Cross multiply
    221,856.30x = 333,003.15 × 109,663.20
  4. Step 4: Simplify right side
    221,856.30x = 36,518,191,039.08
  5. Step 5: Solve for x
    x = 36,518,191,039.08/221,856.30
  6. Step 6: Final answer
    x = 164,602.90

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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.