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Finding the Fourth Proportional to 215,833.14, 298,037.78 and 135,398.93

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Solution

The fourth proportional to 215,833.14, 298,037.78 and 135,398.93 is: 186,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,833.14 : 298,037.78 = 135,398.93 : x
  2. Step 2: Convert to fraction form
    215,833.14/298,037.78 = 135,398.93/x
  3. Step 3: Cross multiply
    215,833.14x = 298,037.78 × 135,398.93
  4. Step 4: Simplify right side
    215,833.14x = 40,353,994,852.14
  5. Step 5: Solve for x
    x = 40,353,994,852.14/215,833.14
  6. Step 6: Final answer
    x = 186,968.48

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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.