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Finding the Fourth Proportional to 302,113.40, 416,908.17 and 166,147.35

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Solution

The fourth proportional to 302,113.40, 416,908.17 and 166,147.35 is: 229,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,113.40 : 416,908.17 = 166,147.35 : x
  2. Step 2: Convert to fraction form
    302,113.40/416,908.17 = 166,147.35/x
  3. Step 3: Cross multiply
    302,113.40x = 416,908.17 × 166,147.35
  4. Step 4: Simplify right side
    302,113.40x = 69,268,186,075.44
  5. Step 5: Solve for x
    x = 69,268,186,075.44/302,113.40
  6. Step 6: Final answer
    x = 229,278.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.