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Finding the Fourth Proportional to 103,692.80, 155,582.86 and 61,653.18

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Solution

The fourth proportional to 103,692.80, 155,582.86 and 61,653.18 is: 92,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692.80 : 155,582.86 = 61,653.18 : x
  2. Step 2: Convert to fraction form
    103,692.80/155,582.86 = 61,653.18/x
  3. Step 3: Cross multiply
    103,692.80x = 155,582.86 × 61,653.18
  4. Step 4: Simplify right side
    103,692.80x = 9,592,178,072.49
  5. Step 5: Solve for x
    x = 9,592,178,072.49/103,692.80
  6. Step 6: Final answer
    x = 92,505.73

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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.