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Finding the Fourth Proportional to 264,107.60, 364,473.45 and 162,082.01

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Solution

The fourth proportional to 264,107.60, 364,473.45 and 162,082.01 is: 223,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,107.60 : 364,473.45 = 162,082.01 : x
  2. Step 2: Convert to fraction form
    264,107.60/364,473.45 = 162,082.01/x
  3. Step 3: Cross multiply
    264,107.60x = 364,473.45 × 162,082.01
  4. Step 4: Simplify right side
    264,107.60x = 59,074,587,545.27
  5. Step 5: Solve for x
    x = 59,074,587,545.27/264,107.60
  6. Step 6: Final answer
    x = 223,676.22

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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.