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Finding the Fourth Proportional to 143,808.98, 198,457.06 and 83,415.38

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Solution

The fourth proportional to 143,808.98, 198,457.06 and 83,415.38 is: 115,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,808.98 : 198,457.06 = 83,415.38 : x
  2. Step 2: Convert to fraction form
    143,808.98/198,457.06 = 83,415.38/x
  3. Step 3: Cross multiply
    143,808.98x = 198,457.06 × 83,415.38
  4. Step 4: Simplify right side
    143,808.98x = 16,554,371,073.58
  5. Step 5: Solve for x
    x = 16,554,371,073.58/143,808.98
  6. Step 6: Final answer
    x = 115,113.61

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Why These Related Problems?

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