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Finding the Fourth Proportional to 143,532.44, 198,066.35 and 83,098.80

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Solution

The fourth proportional to 143,532.44, 198,066.35 and 83,098.80 is: 114,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,532.44 : 198,066.35 = 83,098.80 : x
  2. Step 2: Convert to fraction form
    143,532.44/198,066.35 = 83,098.80/x
  3. Step 3: Cross multiply
    143,532.44x = 198,066.35 × 83,098.80
  4. Step 4: Simplify right side
    143,532.44x = 16,459,076,005.38
  5. Step 5: Solve for x
    x = 16,459,076,005.38/143,532.44
  6. Step 6: Final answer
    x = 114,671.47

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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.