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Finding the Fourth Proportional to 277,205.95, 415,819.32 and 125,374.15

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Solution

The fourth proportional to 277,205.95, 415,819.32 and 125,374.15 is: 188,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,205.95 : 415,819.32 = 125,374.15 : x
  2. Step 2: Convert to fraction form
    277,205.95/415,819.32 = 125,374.15/x
  3. Step 3: Cross multiply
    277,205.95x = 415,819.32 × 125,374.15
  4. Step 4: Simplify right side
    277,205.95x = 52,132,993,798.58
  5. Step 5: Solve for x
    x = 52,132,993,798.58/277,205.95
  6. Step 6: Final answer
    x = 188,065.93

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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.