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Finding the Fourth Proportional to 198,746.74, 297,770.16 and 186,907.78

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Solution

The fourth proportional to 198,746.74, 297,770.16 and 186,907.78 is: 280,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,746.74 : 297,770.16 = 186,907.78 : x
  2. Step 2: Convert to fraction form
    198,746.74/297,770.16 = 186,907.78/x
  3. Step 3: Cross multiply
    198,746.74x = 297,770.16 × 186,907.78
  4. Step 4: Simplify right side
    198,746.74x = 55,655,559,555.84
  5. Step 5: Solve for x
    x = 55,655,559,555.84/198,746.74
  6. Step 6: Final answer
    x = 280,032.57

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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.