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Finding the Fourth Proportional to 161,762.94, 242,644.43 and 49,443.48

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Solution

The fourth proportional to 161,762.94, 242,644.43 and 49,443.48 is: 74,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,762.94 : 242,644.43 = 49,443.48 : x
  2. Step 2: Convert to fraction form
    161,762.94/242,644.43 = 49,443.48/x
  3. Step 3: Cross multiply
    161,762.94x = 242,644.43 × 49,443.48
  4. Step 4: Simplify right side
    161,762.94x = 11,997,185,021.82
  5. Step 5: Solve for x
    x = 11,997,185,021.82/161,762.94
  6. Step 6: Final answer
    x = 74,165.23

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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.