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Finding the Fourth Proportional to 212,100.12, 292,699.17 and 116,613

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Solution

The fourth proportional to 212,100.12, 292,699.17 and 116,613 is: 160,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,100.12 : 292,699.17 = 116,613 : x
  2. Step 2: Convert to fraction form
    212,100.12/292,699.17 = 116,613/x
  3. Step 3: Cross multiply
    212,100.12x = 292,699.17 × 116,613
  4. Step 4: Simplify right side
    212,100.12x = 34,132,528,311.21
  5. Step 5: Solve for x
    x = 34,132,528,311.21/212,100.12
  6. Step 6: Final answer
    x = 160,926.49

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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.