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Finding the Fourth Proportional to 277,521.16, 416,284.16 and 67,159.28

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Solution

The fourth proportional to 277,521.16, 416,284.16 and 67,159.28 is: 100,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,521.16 : 416,284.16 = 67,159.28 : x
  2. Step 2: Convert to fraction form
    277,521.16/416,284.16 = 67,159.28/x
  3. Step 3: Cross multiply
    277,521.16x = 416,284.16 × 67,159.28
  4. Step 4: Simplify right side
    277,521.16x = 27,957,344,461.00
  5. Step 5: Solve for x
    x = 27,957,344,461.00/277,521.16
  6. Step 6: Final answer
    x = 100,739.51

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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.