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Finding the Fourth Proportional to 161,483, 242,273.82 and 82,653.08

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Solution

The fourth proportional to 161,483, 242,273.82 and 82,653.08 is: 124,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,483 : 242,273.82 = 82,653.08 : x
  2. Step 2: Convert to fraction form
    161,483/242,273.82 = 82,653.08/x
  3. Step 3: Cross multiply
    161,483x = 242,273.82 × 82,653.08
  4. Step 4: Simplify right side
    161,483x = 20,024,677,426.37
  5. Step 5: Solve for x
    x = 20,024,677,426.37/161,483
  6. Step 6: Final answer
    x = 124,004.86

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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.