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Finding the Fourth Proportional to 211,913.96, 292,446.42 and 116,426.84

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Solution

The fourth proportional to 211,913.96, 292,446.42 and 116,426.84 is: 160,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,913.96 : 292,446.42 = 116,426.84 : x
  2. Step 2: Convert to fraction form
    211,913.96/292,446.42 = 116,426.84/x
  3. Step 3: Cross multiply
    211,913.96x = 292,446.42 × 116,426.84
  4. Step 4: Simplify right side
    211,913.96x = 34,048,612,549.91
  5. Step 5: Solve for x
    x = 34,048,612,549.91/211,913.96
  6. Step 6: Final answer
    x = 160,671.87

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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.