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Finding the Fourth Proportional to 218,917.36, 302,101.94 and 123,424.16

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Solution

The fourth proportional to 218,917.36, 302,101.94 and 123,424.16 is: 170,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,917.36 : 302,101.94 = 123,424.16 : x
  2. Step 2: Convert to fraction form
    218,917.36/302,101.94 = 123,424.16/x
  3. Step 3: Cross multiply
    218,917.36x = 302,101.94 × 123,424.16
  4. Step 4: Simplify right side
    218,917.36x = 37,286,679,242.69
  5. Step 5: Solve for x
    x = 37,286,679,242.69/218,917.36
  6. Step 6: Final answer
    x = 170,323.08

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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.