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Finding the Fourth Proportional to 109,214.40, 163,821.60 and 64,818.30

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Solution

The fourth proportional to 109,214.40, 163,821.60 and 64,818.30 is: 97,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,214.40 : 163,821.60 = 64,818.30 : x
  2. Step 2: Convert to fraction form
    109,214.40/163,821.60 = 64,818.30/x
  3. Step 3: Cross multiply
    109,214.40x = 163,821.60 × 64,818.30
  4. Step 4: Simplify right side
    109,214.40x = 10,618,637,615.28
  5. Step 5: Solve for x
    x = 10,618,637,615.28/109,214.40
  6. Step 6: Final answer
    x = 97,227.45

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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.