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Finding the Fourth Proportional to 221,957.10, 332,585.01 and 180,199.98

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Solution

The fourth proportional to 221,957.10, 332,585.01 and 180,199.98 is: 270,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,957.10 : 332,585.01 = 180,199.98 : x
  2. Step 2: Convert to fraction form
    221,957.10/332,585.01 = 180,199.98/x
  3. Step 3: Cross multiply
    221,957.10x = 332,585.01 × 180,199.98
  4. Step 4: Simplify right side
    221,957.10x = 59,931,812,150.30
  5. Step 5: Solve for x
    x = 59,931,812,150.30/221,957.10
  6. Step 6: Final answer
    x = 270,015.30

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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.