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Finding the Fourth Proportional to 145,181.08, 200,350.02 and 81,523

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Solution

The fourth proportional to 145,181.08, 200,350.02 and 81,523 is: 112,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,181.08 : 200,350.02 = 81,523 : x
  2. Step 2: Convert to fraction form
    145,181.08/200,350.02 = 81,523/x
  3. Step 3: Cross multiply
    145,181.08x = 200,350.02 × 81,523
  4. Step 4: Simplify right side
    145,181.08x = 16,333,134,680.46
  5. Step 5: Solve for x
    x = 16,333,134,680.46/145,181.08
  6. Step 6: Final answer
    x = 112,501.81

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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.