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Finding the Fourth Proportional to 103,303, 142,552.02 and 57,971.44

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Solution

The fourth proportional to 103,303, 142,552.02 and 57,971.44 is: 79,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,303 : 142,552.02 = 57,971.44 : x
  2. Step 2: Convert to fraction form
    103,303/142,552.02 = 57,971.44/x
  3. Step 3: Cross multiply
    103,303x = 142,552.02 × 57,971.44
  4. Step 4: Simplify right side
    103,303x = 8,263,945,874.31
  5. Step 5: Solve for x
    x = 8,263,945,874.31/103,303
  6. Step 6: Final answer
    x = 79,997.15

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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.