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Finding the Fourth Proportional to 109,877.60, 164,816.40 and 83,633.60

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Solution

The fourth proportional to 109,877.60, 164,816.40 and 83,633.60 is: 125,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,877.60 : 164,816.40 = 83,633.60 : x
  2. Step 2: Convert to fraction form
    109,877.60/164,816.40 = 83,633.60/x
  3. Step 3: Cross multiply
    109,877.60x = 164,816.40 × 83,633.60
  4. Step 4: Simplify right side
    109,877.60x = 13,784,188,871.04
  5. Step 5: Solve for x
    x = 13,784,188,871.04/109,877.60
  6. Step 6: Final answer
    x = 125,450.40

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1.5x scale

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.