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Finding the Fourth Proportional to 102,032.80, 152,899.80 and 91,502.80

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Solution

The fourth proportional to 102,032.80, 152,899.80 and 91,502.80 is: 137,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,032.80 : 152,899.80 = 91,502.80 : x
  2. Step 2: Convert to fraction form
    102,032.80/152,899.80 = 91,502.80/x
  3. Step 3: Cross multiply
    102,032.80x = 152,899.80 × 91,502.80
  4. Step 4: Simplify right side
    102,032.80x = 13,990,759,819.44
  5. Step 5: Solve for x
    x = 13,990,759,819.44/102,032.80
  6. Step 6: Final answer
    x = 137,120.22

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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.