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Finding the Fourth Proportional to 283,128, 424,861.59 and 105,759.66

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Solution

The fourth proportional to 283,128, 424,861.59 and 105,759.66 is: 158,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,128 : 424,861.59 = 105,759.66 : x
  2. Step 2: Convert to fraction form
    283,128/424,861.59 = 105,759.66/x
  3. Step 3: Cross multiply
    283,128x = 424,861.59 × 105,759.66
  4. Step 4: Simplify right side
    283,128x = 44,933,217,305.46
  5. Step 5: Solve for x
    x = 44,933,217,305.46/283,128
  6. Step 6: Final answer
    x = 158,702.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.