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Finding the Fourth Proportional to 114,510.06, 171,682.06 and 76,977.04

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Solution

The fourth proportional to 114,510.06, 171,682.06 and 76,977.04 is: 115,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,510.06 : 171,682.06 = 76,977.04 : x
  2. Step 2: Convert to fraction form
    114,510.06/171,682.06 = 76,977.04/x
  3. Step 3: Cross multiply
    114,510.06x = 171,682.06 × 76,977.04
  4. Step 4: Simplify right side
    114,510.06x = 13,215,576,799.90
  5. Step 5: Solve for x
    x = 13,215,576,799.90/114,510.06
  6. Step 6: Final answer
    x = 115,409.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.