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Finding the Fourth Proportional to 165,832.60, 248,603.10 and 99,299.20

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Solution

The fourth proportional to 165,832.60, 248,603.10 and 99,299.20 is: 148,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,832.60 : 248,603.10 = 99,299.20 : x
  2. Step 2: Convert to fraction form
    165,832.60/248,603.10 = 99,299.20/x
  3. Step 3: Cross multiply
    165,832.60x = 248,603.10 × 99,299.20
  4. Step 4: Simplify right side
    165,832.60x = 24,686,088,947.52
  5. Step 5: Solve for x
    x = 24,686,088,947.52/165,832.60
  6. Step 6: Final answer
    x = 148,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.