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Finding the Fourth Proportional to 211,551.84, 291,895.92 and 122,076

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Solution

The fourth proportional to 211,551.84, 291,895.92 and 122,076 is: 168,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,551.84 : 291,895.92 = 122,076 : x
  2. Step 2: Convert to fraction form
    211,551.84/291,895.92 = 122,076/x
  3. Step 3: Cross multiply
    211,551.84x = 291,895.92 × 122,076
  4. Step 4: Simplify right side
    211,551.84x = 35,633,486,329.92
  5. Step 5: Solve for x
    x = 35,633,486,329.92/211,551.84
  6. Step 6: Final answer
    x = 168,438.56

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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.