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Finding the Fourth Proportional to 157,689, 236,568.06 and 59,193

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Solution

The fourth proportional to 157,689, 236,568.06 and 59,193 is: 88,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,689 : 236,568.06 = 59,193 : x
  2. Step 2: Convert to fraction form
    157,689/236,568.06 = 59,193/x
  3. Step 3: Cross multiply
    157,689x = 236,568.06 × 59,193
  4. Step 4: Simplify right side
    157,689x = 14,003,173,175.58
  5. Step 5: Solve for x
    x = 14,003,173,175.58/157,689
  6. Step 6: Final answer
    x = 88,802.47

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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.