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Finding the Fourth Proportional to 126,254.13, 189,412.91 and 36,297

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Solution

The fourth proportional to 126,254.13, 189,412.91 and 36,297 is: 54,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,254.13 : 189,412.91 = 36,297 : x
  2. Step 2: Convert to fraction form
    126,254.13/189,412.91 = 36,297/x
  3. Step 3: Cross multiply
    126,254.13x = 189,412.91 × 36,297
  4. Step 4: Simplify right side
    126,254.13x = 6,875,120,394.27
  5. Step 5: Solve for x
    x = 6,875,120,394.27/126,254.13
  6. Step 6: Final answer
    x = 54,454.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.