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Finding the Fourth Proportional to 213,159.46, 294,160.11 and 117,666.22

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Solution

The fourth proportional to 213,159.46, 294,160.11 and 117,666.22 is: 162,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,159.46 : 294,160.11 = 117,666.22 : x
  2. Step 2: Convert to fraction form
    213,159.46/294,160.11 = 117,666.22/x
  3. Step 3: Cross multiply
    213,159.46x = 294,160.11 × 117,666.22
  4. Step 4: Simplify right side
    213,159.46x = 34,612,708,218.48
  5. Step 5: Solve for x
    x = 34,612,708,218.48/213,159.46
  6. Step 6: Final answer
    x = 162,379.41

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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.