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Finding the Fourth Proportional to 271,581.12, 407,125.44 and 146,776.32

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Solution

The fourth proportional to 271,581.12, 407,125.44 and 146,776.32 is: 220,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,581.12 : 407,125.44 = 146,776.32 : x
  2. Step 2: Convert to fraction form
    271,581.12/407,125.44 = 146,776.32/x
  3. Step 3: Cross multiply
    271,581.12x = 407,125.44 × 146,776.32
  4. Step 4: Simplify right side
    271,581.12x = 59,756,373,861.58
  5. Step 5: Solve for x
    x = 59,756,373,861.58/271,581.12
  6. Step 6: Final answer
    x = 220,031.40

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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.