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Finding the Fourth Proportional to 159,076.92, 219,526.26 and 87,458.16

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Solution

The fourth proportional to 159,076.92, 219,526.26 and 87,458.16 is: 120,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,076.92 : 219,526.26 = 87,458.16 : x
  2. Step 2: Convert to fraction form
    159,076.92/219,526.26 = 87,458.16/x
  3. Step 3: Cross multiply
    159,076.92x = 219,526.26 × 87,458.16
  4. Step 4: Simplify right side
    159,076.92x = 19,199,362,771.28
  5. Step 5: Solve for x
    x = 19,199,362,771.28/159,076.92
  6. Step 6: Final answer
    x = 120,692.32

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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.