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Finding the Fourth Proportional to 211,402.92, 291,745.14 and 126,503.64

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Solution

The fourth proportional to 211,402.92, 291,745.14 and 126,503.64 is: 174,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,402.92 : 291,745.14 = 126,503.64 : x
  2. Step 2: Convert to fraction form
    211,402.92/291,745.14 = 126,503.64/x
  3. Step 3: Cross multiply
    211,402.92x = 291,745.14 × 126,503.64
  4. Step 4: Simplify right side
    211,402.92x = 36,906,822,162.31
  5. Step 5: Solve for x
    x = 36,906,822,162.31/211,402.92
  6. Step 6: Final answer
    x = 174,580.47

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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.