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Finding the Fourth Proportional to 151,551.34, 209,142.34 and 83,571.01

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Solution

The fourth proportional to 151,551.34, 209,142.34 and 83,571.01 is: 115,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,551.34 : 209,142.34 = 83,571.01 : x
  2. Step 2: Convert to fraction form
    151,551.34/209,142.34 = 83,571.01/x
  3. Step 3: Cross multiply
    151,551.34x = 209,142.34 × 83,571.01
  4. Step 4: Simplify right side
    151,551.34x = 17,478,235,855.78
  5. Step 5: Solve for x
    x = 17,478,235,855.78/151,551.34
  6. Step 6: Final answer
    x = 115,328.81

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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.