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Finding the Fourth Proportional to 159,282.86, 238,965.93 and 59,443.94

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Solution

The fourth proportional to 159,282.86, 238,965.93 and 59,443.94 is: 89,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,282.86 : 238,965.93 = 59,443.94 : x
  2. Step 2: Convert to fraction form
    159,282.86/238,965.93 = 59,443.94/x
  3. Step 3: Cross multiply
    159,282.86x = 238,965.93 × 59,443.94
  4. Step 4: Simplify right side
    159,282.86x = 14,205,077,002.38
  5. Step 5: Solve for x
    x = 14,205,077,002.38/159,282.86
  6. Step 6: Final answer
    x = 89,181.46

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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.