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Finding the Fourth Proportional to 102,770.88, 154,051.26 and 58,303.72

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Solution

The fourth proportional to 102,770.88, 154,051.26 and 58,303.72 is: 87,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770.88 : 154,051.26 = 58,303.72 : x
  2. Step 2: Convert to fraction form
    102,770.88/154,051.26 = 58,303.72/x
  3. Step 3: Cross multiply
    102,770.88x = 154,051.26 × 58,303.72
  4. Step 4: Simplify right side
    102,770.88x = 8,981,761,528.69
  5. Step 5: Solve for x
    x = 8,981,761,528.69/102,770.88
  6. Step 6: Final answer
    x = 87,395.98

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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.