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Finding the Fourth Proportional to 322,082.64, 483,124.32 and 122,356.08

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Solution

The fourth proportional to 322,082.64, 483,124.32 and 122,356.08 is: 183,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,082.64 : 483,124.32 = 122,356.08 : x
  2. Step 2: Convert to fraction form
    322,082.64/483,124.32 = 122,356.08/x
  3. Step 3: Cross multiply
    322,082.64x = 483,124.32 × 122,356.08
  4. Step 4: Simplify right side
    322,082.64x = 59,113,197,947.87
  5. Step 5: Solve for x
    x = 59,113,197,947.87/322,082.64
  6. Step 6: Final answer
    x = 183,534.26

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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.