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Finding the Fourth Proportional to 213,031.59, 293,989.74 and 117,544.44

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Solution

The fourth proportional to 213,031.59, 293,989.74 and 117,544.44 is: 162,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,031.59 : 293,989.74 = 117,544.44 : x
  2. Step 2: Convert to fraction form
    213,031.59/293,989.74 = 117,544.44/x
  3. Step 3: Cross multiply
    213,031.59x = 293,989.74 × 117,544.44
  4. Step 4: Simplify right side
    213,031.59x = 34,556,859,354.05
  5. Step 5: Solve for x
    x = 34,556,859,354.05/213,031.59
  6. Step 6: Final answer
    x = 162,214.72

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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.