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Finding the Fourth Proportional to 143,810.98, 198,459.82 and 83,417.38

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Solution

The fourth proportional to 143,810.98, 198,459.82 and 83,417.38 is: 115,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,810.98 : 198,459.82 = 83,417.38 : x
  2. Step 2: Convert to fraction form
    143,810.98/198,459.82 = 83,417.38/x
  3. Step 3: Cross multiply
    143,810.98x = 198,459.82 × 83,417.38
  4. Step 4: Simplify right side
    143,810.98x = 16,554,998,219.67
  5. Step 5: Solve for x
    x = 16,554,998,219.67/143,810.98
  6. Step 6: Final answer
    x = 115,116.37

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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.