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Finding the Fourth Proportional to 302,139.32, 416,943.92 and 166,173.30

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Solution

The fourth proportional to 302,139.32, 416,943.92 and 166,173.30 is: 229,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,139.32 : 416,943.92 = 166,173.30 : x
  2. Step 2: Convert to fraction form
    302,139.32/416,943.92 = 166,173.30/x
  3. Step 3: Cross multiply
    302,139.32x = 416,943.92 × 166,173.30
  4. Step 4: Simplify right side
    302,139.32x = 69,284,947,101.34
  5. Step 5: Solve for x
    x = 69,284,947,101.34/302,139.32
  6. Step 6: Final answer
    x = 229,314.57

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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.