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Finding the Fourth Proportional to 109,707.60, 164,431.80 and 81,973.20

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Solution

The fourth proportional to 109,707.60, 164,431.80 and 81,973.20 is: 122,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,707.60 : 164,431.80 = 81,973.20 : x
  2. Step 2: Convert to fraction form
    109,707.60/164,431.80 = 81,973.20/x
  3. Step 3: Cross multiply
    109,707.60x = 164,431.80 × 81,973.20
  4. Step 4: Simplify right side
    109,707.60x = 13,479,000,827.76
  5. Step 5: Solve for x
    x = 13,479,000,827.76/109,707.60
  6. Step 6: Final answer
    x = 122,862.96

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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.