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Finding the Fourth Proportional to 145,189.89, 200,363.29 and 81,533.61

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Solution

The fourth proportional to 145,189.89, 200,363.29 and 81,533.61 is: 112,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,189.89 : 200,363.29 = 81,533.61 : x
  2. Step 2: Convert to fraction form
    145,189.89/200,363.29 = 81,533.61/x
  3. Step 3: Cross multiply
    145,189.89x = 200,363.29 × 81,533.61
  4. Step 4: Simplify right side
    145,189.89x = 16,336,342,141.34
  5. Step 5: Solve for x
    x = 16,336,342,141.34/145,189.89
  6. Step 6: Final answer
    x = 112,517.08

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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.