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Finding the Fourth Proportional to 259,376.09, 389,098.16 and 101,584.04

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Solution

The fourth proportional to 259,376.09, 389,098.16 and 101,584.04 is: 152,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,376.09 : 389,098.16 = 101,584.04 : x
  2. Step 2: Convert to fraction form
    259,376.09/389,098.16 = 101,584.04/x
  3. Step 3: Cross multiply
    259,376.09x = 389,098.16 × 101,584.04
  4. Step 4: Simplify right side
    259,376.09x = 39,526,160,595.96
  5. Step 5: Solve for x
    x = 39,526,160,595.96/259,376.09
  6. Step 6: Final answer
    x = 152,389.38

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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.