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Finding the Fourth Proportional to 302,066.34, 416,842.74 and 166,100.14

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Solution

The fourth proportional to 302,066.34, 416,842.74 and 166,100.14 is: 229,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,066.34 : 416,842.74 = 166,100.14 : x
  2. Step 2: Convert to fraction form
    302,066.34/416,842.74 = 166,100.14/x
  3. Step 3: Cross multiply
    302,066.34x = 416,842.74 × 166,100.14
  4. Step 4: Simplify right side
    302,066.34x = 69,237,637,471.98
  5. Step 5: Solve for x
    x = 69,237,637,471.98/302,066.34
  6. Step 6: Final answer
    x = 229,213.35

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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.