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Finding the Fourth Proportional to 152,769.50, 210,823.36 and 85,702.94

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Solution

The fourth proportional to 152,769.50, 210,823.36 and 85,702.94 is: 118,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,769.50 : 210,823.36 = 85,702.94 : x
  2. Step 2: Convert to fraction form
    152,769.50/210,823.36 = 85,702.94/x
  3. Step 3: Cross multiply
    152,769.50x = 210,823.36 × 85,702.94
  4. Step 4: Simplify right side
    152,769.50x = 18,068,181,772.68
  5. Step 5: Solve for x
    x = 18,068,181,772.68/152,769.50
  6. Step 6: Final answer
    x = 118,270.87

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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.