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Finding the Fourth Proportional to 145,728.57, 201,105.89 and 84,486.70

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Solution

The fourth proportional to 145,728.57, 201,105.89 and 84,486.70 is: 116,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,728.57 : 201,105.89 = 84,486.70 : x
  2. Step 2: Convert to fraction form
    145,728.57/201,105.89 = 84,486.70/x
  3. Step 3: Cross multiply
    145,728.57x = 201,105.89 × 84,486.70
  4. Step 4: Simplify right side
    145,728.57x = 16,990,772,996.66
  5. Step 5: Solve for x
    x = 16,990,772,996.66/145,728.57
  6. Step 6: Final answer
    x = 116,591.91

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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.