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Finding the Fourth Proportional to 109,963.53, 164,852.96 and 76,585.05

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Solution

The fourth proportional to 109,963.53, 164,852.96 and 76,585.05 is: 114,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.53 : 164,852.96 = 76,585.05 : x
  2. Step 2: Convert to fraction form
    109,963.53/164,852.96 = 76,585.05/x
  3. Step 3: Cross multiply
    109,963.53x = 164,852.96 × 76,585.05
  4. Step 4: Simplify right side
    109,963.53x = 12,625,271,801.32
  5. Step 5: Solve for x
    x = 12,625,271,801.32/109,963.53
  6. Step 6: Final answer
    x = 114,813.26

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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.