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Finding the Fourth Proportional to 105,514.46, 145,604.21 and 57,758.58

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Solution

The fourth proportional to 105,514.46, 145,604.21 and 57,758.58 is: 79,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,514.46 : 145,604.21 = 57,758.58 : x
  2. Step 2: Convert to fraction form
    105,514.46/145,604.21 = 57,758.58/x
  3. Step 3: Cross multiply
    105,514.46x = 145,604.21 × 57,758.58
  4. Step 4: Simplify right side
    105,514.46x = 8,409,892,411.62
  5. Step 5: Solve for x
    x = 8,409,892,411.62/105,514.46
  6. Step 6: Final answer
    x = 79,703.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.