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Finding the Fourth Proportional to 212,100.96, 292,691.79 and 116,607

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Solution

The fourth proportional to 212,100.96, 292,691.79 and 116,607 is: 160,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,100.96 : 292,691.79 = 116,607 : x
  2. Step 2: Convert to fraction form
    212,100.96/292,691.79 = 116,607/x
  3. Step 3: Cross multiply
    212,100.96x = 292,691.79 × 116,607
  4. Step 4: Simplify right side
    212,100.96x = 34,129,911,556.53
  5. Step 5: Solve for x
    x = 34,129,911,556.53/212,100.96
  6. Step 6: Final answer
    x = 160,913.52

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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.