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Finding the Fourth Proportional to 109,594.80, 164,586.60 and 84,695.40

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Solution

The fourth proportional to 109,594.80, 164,586.60 and 84,695.40 is: 127,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,594.80 : 164,586.60 = 84,695.40 : x
  2. Step 2: Convert to fraction form
    109,594.80/164,586.60 = 84,695.40/x
  3. Step 3: Cross multiply
    109,594.80x = 164,586.60 × 84,695.40
  4. Step 4: Simplify right side
    109,594.80x = 13,939,727,921.64
  5. Step 5: Solve for x
    x = 13,939,727,921.64/109,594.80
  6. Step 6: Final answer
    x = 127,193.33

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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.