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Finding the Fourth Proportional to 214,193.08, 295,594.02 and 129,293.56

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Solution

The fourth proportional to 214,193.08, 295,594.02 and 129,293.56 is: 178,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,193.08 : 295,594.02 = 129,293.56 : x
  2. Step 2: Convert to fraction form
    214,193.08/295,594.02 = 129,293.56/x
  3. Step 3: Cross multiply
    214,193.08x = 295,594.02 × 129,293.56
  4. Step 4: Simplify right side
    214,193.08x = 38,218,403,160.51
  5. Step 5: Solve for x
    x = 38,218,403,160.51/214,193.08
  6. Step 6: Final answer
    x = 178,429.68

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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.