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Finding the Fourth Proportional to 176,200.81, 264,298.84 and 43,082.21

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Solution

The fourth proportional to 176,200.81, 264,298.84 and 43,082.21 is: 64,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,200.81 : 264,298.84 = 43,082.21 : x
  2. Step 2: Convert to fraction form
    176,200.81/264,298.84 = 43,082.21/x
  3. Step 3: Cross multiply
    176,200.81x = 264,298.84 × 43,082.21
  4. Step 4: Simplify right side
    176,200.81x = 11,386,578,127.64
  5. Step 5: Solve for x
    x = 11,386,578,127.64/176,200.81
  6. Step 6: Final answer
    x = 64,622.73

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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.