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Finding the Fourth Proportional to 213,407.93, 294,508.88 and 117,920.81

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Solution

The fourth proportional to 213,407.93, 294,508.88 and 117,920.81 is: 162,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,407.93 : 294,508.88 = 117,920.81 : x
  2. Step 2: Convert to fraction form
    213,407.93/294,508.88 = 117,920.81/x
  3. Step 3: Cross multiply
    213,407.93x = 294,508.88 × 117,920.81
  4. Step 4: Simplify right side
    213,407.93x = 34,728,723,619.64
  5. Step 5: Solve for x
    x = 34,728,723,619.64/213,407.93
  6. Step 6: Final answer
    x = 162,733.99

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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.