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Finding the Fourth Proportional to 161,807.83, 242,672.81 and 49,489.02

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Solution

The fourth proportional to 161,807.83, 242,672.81 and 49,489.02 is: 74,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807.83 : 242,672.81 = 49,489.02 : x
  2. Step 2: Convert to fraction form
    161,807.83/242,672.81 = 49,489.02/x
  3. Step 3: Cross multiply
    161,807.83x = 242,672.81 × 49,489.02
  4. Step 4: Simplify right side
    161,807.83x = 12,009,638,334.18
  5. Step 5: Solve for x
    x = 12,009,638,334.18/161,807.83
  6. Step 6: Final answer
    x = 74,221.62

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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.