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Finding the Fourth Proportional to 159,292.96, 238,772.76 and 59,413

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Solution

The fourth proportional to 159,292.96, 238,772.76 and 59,413 is: 89,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,292.96 : 238,772.76 = 59,413 : x
  2. Step 2: Convert to fraction form
    159,292.96/238,772.76 = 59,413/x
  3. Step 3: Cross multiply
    159,292.96x = 238,772.76 × 59,413
  4. Step 4: Simplify right side
    159,292.96x = 14,186,205,989.88
  5. Step 5: Solve for x
    x = 14,186,205,989.88/159,292.96
  6. Step 6: Final answer
    x = 89,057.33

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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.