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Finding the Fourth Proportional to 102,703.75, 141,706.89 and 59,657.68

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Solution

The fourth proportional to 102,703.75, 141,706.89 and 59,657.68 is: 82,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,703.75 : 141,706.89 = 59,657.68 : x
  2. Step 2: Convert to fraction form
    102,703.75/141,706.89 = 59,657.68/x
  3. Step 3: Cross multiply
    102,703.75x = 141,706.89 × 59,657.68
  4. Step 4: Simplify right side
    102,703.75x = 8,453,904,297.42
  5. Step 5: Solve for x
    x = 8,453,904,297.42/102,703.75
  6. Step 6: Final answer
    x = 82,313.49

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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.