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Finding the Fourth Proportional to 153,424.96, 211,724.74 and 85,440.45

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Solution

The fourth proportional to 153,424.96, 211,724.74 and 85,440.45 is: 117,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424.96 : 211,724.74 = 85,440.45 : x
  2. Step 2: Convert to fraction form
    153,424.96/211,724.74 = 85,440.45/x
  3. Step 3: Cross multiply
    153,424.96x = 211,724.74 × 85,440.45
  4. Step 4: Simplify right side
    153,424.96x = 18,089,857,061.73
  5. Step 5: Solve for x
    x = 18,089,857,061.73/153,424.96
  6. Step 6: Final answer
    x = 117,906.87

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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.