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Finding the Fourth Proportional to 280,521.38, 387,120.92 and 153,196.98

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Solution

The fourth proportional to 280,521.38, 387,120.92 and 153,196.98 is: 211,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,521.38 : 387,120.92 = 153,196.98 : x
  2. Step 2: Convert to fraction form
    280,521.38/387,120.92 = 153,196.98/x
  3. Step 3: Cross multiply
    280,521.38x = 387,120.92 × 153,196.98
  4. Step 4: Simplify right side
    280,521.38x = 59,305,755,838.82
  5. Step 5: Solve for x
    x = 59,305,755,838.82/280,521.38
  6. Step 6: Final answer
    x = 211,412.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.