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Finding the Fourth Proportional to 277,844.80, 416,152.80 and 167,252.80

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Solution

The fourth proportional to 277,844.80, 416,152.80 and 167,252.80 is: 250,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,844.80 : 416,152.80 = 167,252.80 : x
  2. Step 2: Convert to fraction form
    277,844.80/416,152.80 = 167,252.80/x
  3. Step 3: Cross multiply
    277,844.80x = 416,152.80 × 167,252.80
  4. Step 4: Simplify right side
    277,844.80x = 69,602,721,027.84
  5. Step 5: Solve for x
    x = 69,602,721,027.84/277,844.80
  6. Step 6: Final answer
    x = 250,509.35

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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.