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Finding the Fourth Proportional to 302,096.12, 416,883.83 and 166,129.93

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Solution

The fourth proportional to 302,096.12, 416,883.83 and 166,129.93 is: 229,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096.12 : 416,883.83 = 166,129.93 : x
  2. Step 2: Convert to fraction form
    302,096.12/416,883.83 = 166,129.93/x
  3. Step 3: Cross multiply
    302,096.12x = 416,883.83 × 166,129.93
  4. Step 4: Simplify right side
    302,096.12x = 69,256,881,496.03
  5. Step 5: Solve for x
    x = 69,256,881,496.03/302,096.12
  6. Step 6: Final answer
    x = 229,254.46

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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.