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Finding the Fourth Proportional to 152,845.50, 210,946.23 and 85,777.50

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Solution

The fourth proportional to 152,845.50, 210,946.23 and 85,777.50 is: 118,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,845.50 : 210,946.23 = 85,777.50 : x
  2. Step 2: Convert to fraction form
    152,845.50/210,946.23 = 85,777.50/x
  3. Step 3: Cross multiply
    152,845.50x = 210,946.23 × 85,777.50
  4. Step 4: Simplify right side
    152,845.50x = 18,094,440,243.83
  5. Step 5: Solve for x
    x = 18,094,440,243.83/152,845.50
  6. Step 6: Final answer
    x = 118,383.86

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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.