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Finding the Fourth Proportional to 102,498.87, 153,792.71 and 55,058.61

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Solution

The fourth proportional to 102,498.87, 153,792.71 and 55,058.61 is: 82,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,498.87 : 153,792.71 = 55,058.61 : x
  2. Step 2: Convert to fraction form
    102,498.87/153,792.71 = 55,058.61/x
  3. Step 3: Cross multiply
    102,498.87x = 153,792.71 × 55,058.61
  4. Step 4: Simplify right side
    102,498.87x = 8,467,612,565.44
  5. Step 5: Solve for x
    x = 8,467,612,565.44/102,498.87
  6. Step 6: Final answer
    x = 82,611.77

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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.