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Finding the Fourth Proportional to 277,732.67, 416,599.62 and 100,364.95

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Solution

The fourth proportional to 277,732.67, 416,599.62 and 100,364.95 is: 150,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,732.67 : 416,599.62 = 100,364.95 : x
  2. Step 2: Convert to fraction form
    277,732.67/416,599.62 = 100,364.95/x
  3. Step 3: Cross multiply
    277,732.67x = 416,599.62 × 100,364.95
  4. Step 4: Simplify right side
    277,732.67x = 41,811,997,446.50
  5. Step 5: Solve for x
    x = 41,811,997,446.50/277,732.67
  6. Step 6: Final answer
    x = 150,547.64

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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.