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Finding the Fourth Proportional to 109,834.40, 164,751.60 and 102,461.60

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Solution

The fourth proportional to 109,834.40, 164,751.60 and 102,461.60 is: 153,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,834.40 : 164,751.60 = 102,461.60 : x
  2. Step 2: Convert to fraction form
    109,834.40/164,751.60 = 102,461.60/x
  3. Step 3: Cross multiply
    109,834.40x = 164,751.60 × 102,461.60
  4. Step 4: Simplify right side
    109,834.40x = 16,880,712,538.56
  5. Step 5: Solve for x
    x = 16,880,712,538.56/109,834.40
  6. Step 6: Final answer
    x = 153,692.40

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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.