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Finding the Fourth Proportional to 157,190.84, 216,923.38 and 85,571.40

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Solution

The fourth proportional to 157,190.84, 216,923.38 and 85,571.40 is: 118,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,190.84 : 216,923.38 = 85,571.40 : x
  2. Step 2: Convert to fraction form
    157,190.84/216,923.38 = 85,571.40/x
  3. Step 3: Cross multiply
    157,190.84x = 216,923.38 × 85,571.40
  4. Step 4: Simplify right side
    157,190.84x = 18,562,437,319.33
  5. Step 5: Solve for x
    x = 18,562,437,319.33/157,190.84
  6. Step 6: Final answer
    x = 118,088.54

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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.