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Finding the Fourth Proportional to 314,202.72, 471,233.06 and 89,558.32

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Solution

The fourth proportional to 314,202.72, 471,233.06 and 89,558.32 is: 134,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,202.72 : 471,233.06 = 89,558.32 : x
  2. Step 2: Convert to fraction form
    314,202.72/471,233.06 = 89,558.32/x
  3. Step 3: Cross multiply
    314,202.72x = 471,233.06 × 89,558.32
  4. Step 4: Simplify right side
    314,202.72x = 42,202,841,182.06
  5. Step 5: Solve for x
    x = 42,202,841,182.06/314,202.72
  6. Step 6: Final answer
    x = 134,317.24

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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.