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Finding the Fourth Proportional to 118,849.56, 164,025.18 and 75,830.22

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Solution

The fourth proportional to 118,849.56, 164,025.18 and 75,830.22 is: 104,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,849.56 : 164,025.18 = 75,830.22 : x
  2. Step 2: Convert to fraction form
    118,849.56/164,025.18 = 75,830.22/x
  3. Step 3: Cross multiply
    118,849.56x = 164,025.18 × 75,830.22
  4. Step 4: Simplify right side
    118,849.56x = 12,438,065,484.94
  5. Step 5: Solve for x
    x = 12,438,065,484.94/118,849.56
  6. Step 6: Final answer
    x = 104,653.86

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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.