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Finding the Fourth Proportional to 98,692.40, 147,941.40 and 48,780.20

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Solution

The fourth proportional to 98,692.40, 147,941.40 and 48,780.20 is: 73,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,692.40 : 147,941.40 = 48,780.20 : x
  2. Step 2: Convert to fraction form
    98,692.40/147,941.40 = 48,780.20/x
  3. Step 3: Cross multiply
    98,692.40x = 147,941.40 × 48,780.20
  4. Step 4: Simplify right side
    98,692.40x = 7,216,611,080.28
  5. Step 5: Solve for x
    x = 7,216,611,080.28/98,692.40
  6. Step 6: Final answer
    x = 73,122.26

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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.