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Finding the Fourth Proportional to 302,037.82, 416,822.90 and 166,082.12

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Solution

The fourth proportional to 302,037.82, 416,822.90 and 166,082.12 is: 229,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,037.82 : 416,822.90 = 166,082.12 : x
  2. Step 2: Convert to fraction form
    302,037.82/416,822.90 = 166,082.12/x
  3. Step 3: Cross multiply
    302,037.82x = 416,822.90 × 166,082.12
  4. Step 4: Simplify right side
    302,037.82x = 69,226,830,896.55
  5. Step 5: Solve for x
    x = 69,226,830,896.55/302,037.82
  6. Step 6: Final answer
    x = 229,199.21

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1.5x scale

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.