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Finding the Fourth Proportional to 105,511.30, 145,825.05 and 84,516.10

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Solution

The fourth proportional to 105,511.30, 145,825.05 and 84,516.10 is: 116,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,511.30 : 145,825.05 = 84,516.10 : x
  2. Step 2: Convert to fraction form
    105,511.30/145,825.05 = 84,516.10/x
  3. Step 3: Cross multiply
    105,511.30x = 145,825.05 × 84,516.10
  4. Step 4: Simplify right side
    105,511.30x = 12,324,564,508.31
  5. Step 5: Solve for x
    x = 12,324,564,508.31/105,511.30
  6. Step 6: Final answer
    x = 116,808.01

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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.