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Finding the Fourth Proportional to 159,219, 238,823.37 and 54,038.88

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Solution

The fourth proportional to 159,219, 238,823.37 and 54,038.88 is: 81,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,219 : 238,823.37 = 54,038.88 : x
  2. Step 2: Convert to fraction form
    159,219/238,823.37 = 54,038.88/x
  3. Step 3: Cross multiply
    159,219x = 238,823.37 × 54,038.88
  4. Step 4: Simplify right side
    159,219x = 12,905,747,432.63
  5. Step 5: Solve for x
    x = 12,905,747,432.63/159,219
  6. Step 6: Final answer
    x = 81,056.58

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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.