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Finding the Fourth Proportional to 103,997.16, 143,482.53 and 82,123.98

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Solution

The fourth proportional to 103,997.16, 143,482.53 and 82,123.98 is: 113,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,997.16 : 143,482.53 = 82,123.98 : x
  2. Step 2: Convert to fraction form
    103,997.16/143,482.53 = 82,123.98/x
  3. Step 3: Cross multiply
    103,997.16x = 143,482.53 × 82,123.98
  4. Step 4: Simplify right side
    103,997.16x = 11,783,356,424.07
  5. Step 5: Solve for x
    x = 11,783,356,424.07/103,997.16
  6. Step 6: Final answer
    x = 113,304.60

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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.