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Finding the Fourth Proportional to 213,355.09, 294,433.86 and 117,856.09

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Solution

The fourth proportional to 213,355.09, 294,433.86 and 117,856.09 is: 162,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,355.09 : 294,433.86 = 117,856.09 : x
  2. Step 2: Convert to fraction form
    213,355.09/294,433.86 = 117,856.09/x
  3. Step 3: Cross multiply
    213,355.09x = 294,433.86 × 117,856.09
  4. Step 4: Simplify right side
    213,355.09x = 34,700,823,503.21
  5. Step 5: Solve for x
    x = 34,700,823,503.21/213,355.09
  6. Step 6: Final answer
    x = 162,643.52

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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.