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Finding the Fourth Proportional to 292,021.20, 403,075.44 and 171,188.64

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Solution

The fourth proportional to 292,021.20, 403,075.44 and 171,188.64 is: 236,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,021.20 : 403,075.44 = 171,188.64 : x
  2. Step 2: Convert to fraction form
    292,021.20/403,075.44 = 171,188.64/x
  3. Step 3: Cross multiply
    292,021.20x = 403,075.44 × 171,188.64
  4. Step 4: Simplify right side
    292,021.20x = 69,001,936,391.00
  5. Step 5: Solve for x
    x = 69,001,936,391.00/292,021.20
  6. Step 6: Final answer
    x = 236,290.85

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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.