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Finding the Fourth Proportional to 302,038.08, 416,823.26 and 166,082.37

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Solution

The fourth proportional to 302,038.08, 416,823.26 and 166,082.37 is: 229,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,038.08 : 416,823.26 = 166,082.37 : x
  2. Step 2: Convert to fraction form
    302,038.08/416,823.26 = 166,082.37/x
  3. Step 3: Cross multiply
    302,038.08x = 416,823.26 × 166,082.37
  4. Step 4: Simplify right side
    302,038.08x = 69,226,994,061.51
  5. Step 5: Solve for x
    x = 69,226,994,061.51/302,038.08
  6. Step 6: Final answer
    x = 229,199.56

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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.