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Finding the Fourth Proportional to 302,045.01, 416,811.44 and 166,078

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Solution

The fourth proportional to 302,045.01, 416,811.44 and 166,078 is: 229,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,045.01 : 416,811.44 = 166,078 : x
  2. Step 2: Convert to fraction form
    302,045.01/416,811.44 = 166,078/x
  3. Step 3: Cross multiply
    302,045.01x = 416,811.44 × 166,078
  4. Step 4: Simplify right side
    302,045.01x = 69,223,209,501.93
  5. Step 5: Solve for x
    x = 69,223,209,501.93/302,045.01
  6. Step 6: Final answer
    x = 229,181.77

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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.