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Finding the Fourth Proportional to 221,056.53, 305,197.38 and 156,662.34

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Solution

The fourth proportional to 221,056.53, 305,197.38 and 156,662.34 is: 216,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,056.53 : 305,197.38 = 156,662.34 : x
  2. Step 2: Convert to fraction form
    221,056.53/305,197.38 = 156,662.34/x
  3. Step 3: Cross multiply
    221,056.53x = 305,197.38 × 156,662.34
  4. Step 4: Simplify right side
    221,056.53x = 47,812,935,712.67
  5. Step 5: Solve for x
    x = 47,812,935,712.67/221,056.53
  6. Step 6: Final answer
    x = 216,292.80

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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.