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Finding the Fourth Proportional to 211,732.60, 292,194.30 and 116,248

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Solution

The fourth proportional to 211,732.60, 292,194.30 and 116,248 is: 160,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,732.60 : 292,194.30 = 116,248 : x
  2. Step 2: Convert to fraction form
    211,732.60/292,194.30 = 116,248/x
  3. Step 3: Cross multiply
    211,732.60x = 292,194.30 × 116,248
  4. Step 4: Simplify right side
    211,732.60x = 33,967,002,986.40
  5. Step 5: Solve for x
    x = 33,967,002,986.40/211,732.60
  6. Step 6: Final answer
    x = 160,424.06

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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.