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Finding the Fourth Proportional to 201,792.89, 302,692.98 and 52,036.31

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Solution

The fourth proportional to 201,792.89, 302,692.98 and 52,036.31 is: 78,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,792.89 : 302,692.98 = 52,036.31 : x
  2. Step 2: Convert to fraction form
    201,792.89/302,692.98 = 52,036.31/x
  3. Step 3: Cross multiply
    201,792.89x = 302,692.98 × 52,036.31
  4. Step 4: Simplify right side
    201,792.89x = 15,751,026,693.97
  5. Step 5: Solve for x
    x = 15,751,026,693.97/201,792.89
  6. Step 6: Final answer
    x = 78,055.41

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Why These Related Problems?

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