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Finding the Fourth Proportional to 413,120.25, 619,692.93 and 128,821.05

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Solution

The fourth proportional to 413,120.25, 619,692.93 and 128,821.05 is: 193,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,120.25 : 619,692.93 = 128,821.05 : x
  2. Step 2: Convert to fraction form
    413,120.25/619,692.93 = 128,821.05/x
  3. Step 3: Cross multiply
    413,120.25x = 619,692.93 × 128,821.05
  4. Step 4: Simplify right side
    413,120.25x = 79,829,493,920.18
  5. Step 5: Solve for x
    x = 79,829,493,920.18/413,120.25
  6. Step 6: Final answer
    x = 193,235.49

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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.