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Finding the Fourth Proportional to 193,809.02, 290,417.50 and 81,427.80

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Solution

The fourth proportional to 193,809.02, 290,417.50 and 81,427.80 is: 122,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,809.02 : 290,417.50 = 81,427.80 : x
  2. Step 2: Convert to fraction form
    193,809.02/290,417.50 = 81,427.80/x
  3. Step 3: Cross multiply
    193,809.02x = 290,417.50 × 81,427.80
  4. Step 4: Simplify right side
    193,809.02x = 23,648,058,106.50
  5. Step 5: Solve for x
    x = 23,648,058,106.50/193,809.02
  6. Step 6: Final answer
    x = 122,017.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.