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Finding the Fourth Proportional to 109,417.50, 163,962.18 and 84,420.09

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Solution

The fourth proportional to 109,417.50, 163,962.18 and 84,420.09 is: 126,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,417.50 : 163,962.18 = 84,420.09 : x
  2. Step 2: Convert to fraction form
    109,417.50/163,962.18 = 84,420.09/x
  3. Step 3: Cross multiply
    109,417.50x = 163,962.18 × 84,420.09
  4. Step 4: Simplify right side
    109,417.50x = 13,841,701,992.20
  5. Step 5: Solve for x
    x = 13,841,701,992.20/109,417.50
  6. Step 6: Final answer
    x = 126,503.55

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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.