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Finding the Fourth Proportional to 102,770.70, 141,841.61 and 59,763.50

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Solution

The fourth proportional to 102,770.70, 141,841.61 and 59,763.50 is: 82,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770.70 : 141,841.61 = 59,763.50 : x
  2. Step 2: Convert to fraction form
    102,770.70/141,841.61 = 59,763.50/x
  3. Step 3: Cross multiply
    102,770.70x = 141,841.61 × 59,763.50
  4. Step 4: Simplify right side
    102,770.70x = 8,476,950,051.21
  5. Step 5: Solve for x
    x = 8,476,950,051.21/102,770.70
  6. Step 6: Final answer
    x = 82,484.11

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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.