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Finding the Fourth Proportional to 199,565, 299,396.82 and 59,323.04

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Solution

The fourth proportional to 199,565, 299,396.82 and 59,323.04 is: 88,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,565 : 299,396.82 = 59,323.04 : x
  2. Step 2: Convert to fraction form
    199,565/299,396.82 = 59,323.04/x
  3. Step 3: Cross multiply
    199,565x = 299,396.82 × 59,323.04
  4. Step 4: Simplify right side
    199,565x = 17,761,129,528.73
  5. Step 5: Solve for x
    x = 17,761,129,528.73/199,565
  6. Step 6: Final answer
    x = 88,999.22

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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.