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Finding the Fourth Proportional to 102,764, 141,814.40 and 58,052

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Solution

The fourth proportional to 102,764, 141,814.40 and 58,052 is: 80,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764 : 141,814.40 = 58,052 : x
  2. Step 2: Convert to fraction form
    102,764/141,814.40 = 58,052/x
  3. Step 3: Cross multiply
    102,764x = 141,814.40 × 58,052
  4. Step 4: Simplify right side
    102,764x = 8,232,609,548.80
  5. Step 5: Solve for x
    x = 8,232,609,548.80/102,764
  6. Step 6: Final answer
    x = 80,111.81

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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.