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Finding the Fourth Proportional to 201,592.67, 302,365.59 and 75,237.32

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Solution

The fourth proportional to 201,592.67, 302,365.59 and 75,237.32 is: 112,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,592.67 : 302,365.59 = 75,237.32 : x
  2. Step 2: Convert to fraction form
    201,592.67/302,365.59 = 75,237.32/x
  3. Step 3: Cross multiply
    201,592.67x = 302,365.59 × 75,237.32
  4. Step 4: Simplify right side
    201,592.67x = 22,749,175,139.99
  5. Step 5: Solve for x
    x = 22,749,175,139.99/201,592.67
  6. Step 6: Final answer
    x = 112,847.24

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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.