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Finding the Fourth Proportional to 301,032.68, 415,425.12 and 163,212.08

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Solution

The fourth proportional to 301,032.68, 415,425.12 and 163,212.08 is: 225,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,032.68 : 415,425.12 = 163,212.08 : x
  2. Step 2: Convert to fraction form
    301,032.68/415,425.12 = 163,212.08/x
  3. Step 3: Cross multiply
    301,032.68x = 415,425.12 × 163,212.08
  4. Step 4: Simplify right side
    301,032.68x = 67,802,397,919.45
  5. Step 5: Solve for x
    x = 67,802,397,919.45/301,032.68
  6. Step 6: Final answer
    x = 225,232.68

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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.