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Finding the Fourth Proportional to 285,384.06, 427,965.93 and 85,657.50

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Solution

The fourth proportional to 285,384.06, 427,965.93 and 85,657.50 is: 128,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,384.06 : 427,965.93 = 85,657.50 : x
  2. Step 2: Convert to fraction form
    285,384.06/427,965.93 = 85,657.50/x
  3. Step 3: Cross multiply
    285,384.06x = 427,965.93 × 85,657.50
  4. Step 4: Simplify right side
    285,384.06x = 36,658,491,648.98
  5. Step 5: Solve for x
    x = 36,658,491,648.98/285,384.06
  6. Step 6: Final answer
    x = 128,453.19

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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.