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Finding the Fourth Proportional to 277,643.20, 416,341.68 and 127,847.20

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Solution

The fourth proportional to 277,643.20, 416,341.68 and 127,847.20 is: 191,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,643.20 : 416,341.68 = 127,847.20 : x
  2. Step 2: Convert to fraction form
    277,643.20/416,341.68 = 127,847.20/x
  3. Step 3: Cross multiply
    277,643.20x = 416,341.68 × 127,847.20
  4. Step 4: Simplify right side
    277,643.20x = 53,228,118,031.30
  5. Step 5: Solve for x
    x = 53,228,118,031.30/277,643.20
  6. Step 6: Final answer
    x = 191,714.11

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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.