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Finding the Fourth Proportional to 100,830.42, 139,205.88 and 89,620.38

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Solution

The fourth proportional to 100,830.42, 139,205.88 and 89,620.38 is: 123,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830.42 : 139,205.88 = 89,620.38 : x
  2. Step 2: Convert to fraction form
    100,830.42/139,205.88 = 89,620.38/x
  3. Step 3: Cross multiply
    100,830.42x = 139,205.88 × 89,620.38
  4. Step 4: Simplify right side
    100,830.42x = 12,475,683,863.83
  5. Step 5: Solve for x
    x = 12,475,683,863.83/100,830.42
  6. Step 6: Final answer
    x = 123,729.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.