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Finding the Fourth Proportional to 211,324.97, 291,658.32 and 130,778.43

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Solution

The fourth proportional to 211,324.97, 291,658.32 and 130,778.43 is: 180,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324.97 : 291,658.32 = 130,778.43 : x
  2. Step 2: Convert to fraction form
    211,324.97/291,658.32 = 130,778.43/x
  3. Step 3: Cross multiply
    211,324.97x = 291,658.32 × 130,778.43
  4. Step 4: Simplify right side
    211,324.97x = 38,142,617,186.04
  5. Step 5: Solve for x
    x = 38,142,617,186.04/211,324.97
  6. Step 6: Final answer
    x = 180,492.72

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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.