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Finding the Fourth Proportional to 161,657.44, 242,522.34 and 49,347.64

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Solution

The fourth proportional to 161,657.44, 242,522.34 and 49,347.64 is: 74,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,657.44 : 242,522.34 = 49,347.64 : x
  2. Step 2: Convert to fraction form
    161,657.44/242,522.34 = 49,347.64/x
  3. Step 3: Cross multiply
    161,657.44x = 242,522.34 × 49,347.64
  4. Step 4: Simplify right side
    161,657.44x = 11,967,905,126.28
  5. Step 5: Solve for x
    x = 11,967,905,126.28/161,657.44
  6. Step 6: Final answer
    x = 74,032.50

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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.