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Finding the Fourth Proportional to 159,253.38, 238,914.63 and 48,442.50

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Solution

The fourth proportional to 159,253.38, 238,914.63 and 48,442.50 is: 72,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,253.38 : 238,914.63 = 48,442.50 : x
  2. Step 2: Convert to fraction form
    159,253.38/238,914.63 = 48,442.50/x
  3. Step 3: Cross multiply
    159,253.38x = 238,914.63 × 48,442.50
  4. Step 4: Simplify right side
    159,253.38x = 11,573,621,963.78
  5. Step 5: Solve for x
    x = 11,573,621,963.78/159,253.38
  6. Step 6: Final answer
    x = 72,674.26

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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.