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Finding the Fourth Proportional to 110,502.83, 165,870.21 and 97,933.02

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Solution

The fourth proportional to 110,502.83, 165,870.21 and 97,933.02 is: 147,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502.83 : 165,870.21 = 97,933.02 : x
  2. Step 2: Convert to fraction form
    110,502.83/165,870.21 = 97,933.02/x
  3. Step 3: Cross multiply
    110,502.83x = 165,870.21 × 97,933.02
  4. Step 4: Simplify right side
    110,502.83x = 16,244,169,512.26
  5. Step 5: Solve for x
    x = 16,244,169,512.26/110,502.83
  6. Step 6: Final answer
    x = 147,002.29

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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.