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Finding the Fourth Proportional to 109,420.50, 163,966.68 and 84,423.09

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Solution

The fourth proportional to 109,420.50, 163,966.68 and 84,423.09 is: 126,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,420.50 : 163,966.68 = 84,423.09 : x
  2. Step 2: Convert to fraction form
    109,420.50/163,966.68 = 84,423.09/x
  3. Step 3: Cross multiply
    109,420.50x = 163,966.68 × 84,423.09
  4. Step 4: Simplify right side
    109,420.50x = 13,842,573,782.64
  5. Step 5: Solve for x
    x = 13,842,573,782.64/109,420.50
  6. Step 6: Final answer
    x = 126,508.05

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