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Finding the Fourth Proportional to 201,106.32, 301,543.92 and 82,859.28

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Solution

The fourth proportional to 201,106.32, 301,543.92 and 82,859.28 is: 124,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,106.32 : 301,543.92 = 82,859.28 : x
  2. Step 2: Convert to fraction form
    201,106.32/301,543.92 = 82,859.28/x
  3. Step 3: Cross multiply
    201,106.32x = 301,543.92 × 82,859.28
  4. Step 4: Simplify right side
    201,106.32x = 24,985,712,099.58
  5. Step 5: Solve for x
    x = 24,985,712,099.58/201,106.32
  6. Step 6: Final answer
    x = 124,241.31

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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.