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Finding the Fourth Proportional to 212,042.84, 292,613.34 and 116,549.56

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Solution

The fourth proportional to 212,042.84, 292,613.34 and 116,549.56 is: 160,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,042.84 : 292,613.34 = 116,549.56 : x
  2. Step 2: Convert to fraction form
    212,042.84/292,613.34 = 116,549.56/x
  3. Step 3: Cross multiply
    212,042.84x = 292,613.34 × 116,549.56
  4. Step 4: Simplify right side
    212,042.84x = 34,103,956,027.13
  5. Step 5: Solve for x
    x = 34,103,956,027.13/212,042.84
  6. Step 6: Final answer
    x = 160,835.22

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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.