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Finding the Fourth Proportional to 212,067.90, 292,646.27 and 116,573.90

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Solution

The fourth proportional to 212,067.90, 292,646.27 and 116,573.90 is: 160,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,067.90 : 292,646.27 = 116,573.90 : x
  2. Step 2: Convert to fraction form
    212,067.90/292,646.27 = 116,573.90/x
  3. Step 3: Cross multiply
    212,067.90x = 292,646.27 × 116,573.90
  4. Step 4: Simplify right side
    212,067.90x = 34,114,916,431.48
  5. Step 5: Solve for x
    x = 34,114,916,431.48/212,067.90
  6. Step 6: Final answer
    x = 160,867.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.