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Finding the Fourth Proportional to 143,748, 198,374.16 and 83,322.96

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Solution

The fourth proportional to 143,748, 198,374.16 and 83,322.96 is: 114,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,748 : 198,374.16 = 83,322.96 : x
  2. Step 2: Convert to fraction form
    143,748/198,374.16 = 83,322.96/x
  3. Step 3: Cross multiply
    143,748x = 198,374.16 × 83,322.96
  4. Step 4: Simplify right side
    143,748x = 16,529,122,198.71
  5. Step 5: Solve for x
    x = 16,529,122,198.71/143,748
  6. Step 6: Final answer
    x = 114,986.80

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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.