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Finding the Fourth Proportional to 99,871, 137,830.74 and 55,167.64

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Solution

The fourth proportional to 99,871, 137,830.74 and 55,167.64 is: 76,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871 : 137,830.74 = 55,167.64 : x
  2. Step 2: Convert to fraction form
    99,871/137,830.74 = 55,167.64/x
  3. Step 3: Cross multiply
    99,871x = 137,830.74 × 55,167.64
  4. Step 4: Simplify right side
    99,871x = 7,603,796,645.25
  5. Step 5: Solve for x
    x = 7,603,796,645.25/99,871
  6. Step 6: Final answer
    x = 76,136.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.