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Finding the Fourth Proportional to 277,678.53, 416,431.53 and 100,162.47

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Solution

The fourth proportional to 277,678.53, 416,431.53 and 100,162.47 is: 150,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,678.53 : 416,431.53 = 100,162.47 : x
  2. Step 2: Convert to fraction form
    277,678.53/416,431.53 = 100,162.47/x
  3. Step 3: Cross multiply
    277,678.53x = 416,431.53 × 100,162.47
  4. Step 4: Simplify right side
    277,678.53x = 41,710,812,192.30
  5. Step 5: Solve for x
    x = 41,710,812,192.30/277,678.53
  6. Step 6: Final answer
    x = 150,212.59

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1.5x scale

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.