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Finding the Fourth Proportional to 150,477.50, 207,658.98 and 83,409.50

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Solution

The fourth proportional to 150,477.50, 207,658.98 and 83,409.50 is: 115,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,477.50 : 207,658.98 = 83,409.50 : x
  2. Step 2: Convert to fraction form
    150,477.50/207,658.98 = 83,409.50/x
  3. Step 3: Cross multiply
    150,477.50x = 207,658.98 × 83,409.50
  4. Step 4: Simplify right side
    150,477.50x = 17,320,731,692.31
  5. Step 5: Solve for x
    x = 17,320,731,692.31/150,477.50
  6. Step 6: Final answer
    x = 115,105.13

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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.