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Finding the Fourth Proportional to 159,024.14, 219,455.02 and 86,427.05

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Solution

The fourth proportional to 159,024.14, 219,455.02 and 86,427.05 is: 119,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,024.14 : 219,455.02 = 86,427.05 : x
  2. Step 2: Convert to fraction form
    159,024.14/219,455.02 = 86,427.05/x
  3. Step 3: Cross multiply
    159,024.14x = 219,455.02 × 86,427.05
  4. Step 4: Simplify right side
    159,024.14x = 18,966,850,231.48
  5. Step 5: Solve for x
    x = 18,966,850,231.48/159,024.14
  6. Step 6: Final answer
    x = 119,270.25

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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.