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Finding the Fourth Proportional to 213,006.63, 293,950.14 and 117,513.30

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Solution

The fourth proportional to 213,006.63, 293,950.14 and 117,513.30 is: 162,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,006.63 : 293,950.14 = 117,513.30 : x
  2. Step 2: Convert to fraction form
    213,006.63/293,950.14 = 117,513.30/x
  3. Step 3: Cross multiply
    213,006.63x = 293,950.14 × 117,513.30
  4. Step 4: Simplify right side
    213,006.63x = 34,543,050,986.86
  5. Step 5: Solve for x
    x = 34,543,050,986.86/213,006.63
  6. Step 6: Final answer
    x = 162,168.90

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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.