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Finding the Fourth Proportional to 159,464.96, 239,114.39 and 59,542.98

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Solution

The fourth proportional to 159,464.96, 239,114.39 and 59,542.98 is: 89,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,464.96 : 239,114.39 = 59,542.98 : x
  2. Step 2: Convert to fraction form
    159,464.96/239,114.39 = 59,542.98/x
  3. Step 3: Cross multiply
    159,464.96x = 239,114.39 × 59,542.98
  4. Step 4: Simplify right side
    159,464.96x = 14,237,583,043.77
  5. Step 5: Solve for x
    x = 14,237,583,043.77/159,464.96
  6. Step 6: Final answer
    x = 89,283.46

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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.