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Finding the Fourth Proportional to 213,159.45, 294,160.24 and 117,666.06

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Solution

The fourth proportional to 213,159.45, 294,160.24 and 117,666.06 is: 162,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,159.45 : 294,160.24 = 117,666.06 : x
  2. Step 2: Convert to fraction form
    213,159.45/294,160.24 = 117,666.06/x
  3. Step 3: Cross multiply
    213,159.45x = 294,160.24 × 117,666.06
  4. Step 4: Simplify right side
    213,159.45x = 34,612,676,449.45
  5. Step 5: Solve for x
    x = 34,612,676,449.45/213,159.45
  6. Step 6: Final answer
    x = 162,379.27

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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.