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Finding the Fourth Proportional to 109,421.50, 163,968.18 and 84,424.09

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Solution

The fourth proportional to 109,421.50, 163,968.18 and 84,424.09 is: 126,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,421.50 : 163,968.18 = 84,424.09 : x
  2. Step 2: Convert to fraction form
    109,421.50/163,968.18 = 84,424.09/x
  3. Step 3: Cross multiply
    109,421.50x = 163,968.18 × 84,424.09
  4. Step 4: Simplify right side
    109,421.50x = 13,842,864,385.46
  5. Step 5: Solve for x
    x = 13,842,864,385.46/109,421.50
  6. Step 6: Final answer
    x = 126,509.55

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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.