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Finding the Fourth Proportional to 201,765.36, 302,375.88 and 77,038.32

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Solution

The fourth proportional to 201,765.36, 302,375.88 and 77,038.32 is: 115,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765.36 : 302,375.88 = 77,038.32 : x
  2. Step 2: Convert to fraction form
    201,765.36/302,375.88 = 77,038.32/x
  3. Step 3: Cross multiply
    201,765.36x = 302,375.88 × 77,038.32
  4. Step 4: Simplify right side
    201,765.36x = 23,294,529,803.72
  5. Step 5: Solve for x
    x = 23,294,529,803.72/201,765.36
  6. Step 6: Final answer
    x = 115,453.56

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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.