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Finding the Fourth Proportional to 291,082.77, 401,661.72 and 163,755.63

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Solution

The fourth proportional to 291,082.77, 401,661.72 and 163,755.63 is: 225,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,082.77 : 401,661.72 = 163,755.63 : x
  2. Step 2: Convert to fraction form
    291,082.77/401,661.72 = 163,755.63/x
  3. Step 3: Cross multiply
    291,082.77x = 401,661.72 × 163,755.63
  4. Step 4: Simplify right side
    291,082.77x = 65,774,368,005.48
  5. Step 5: Solve for x
    x = 65,774,368,005.48/291,082.77
  6. Step 6: Final answer
    x = 225,964.48

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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.