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Finding the Fourth Proportional to 162,073.81, 243,111.29 and 49,754.03

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Solution

The fourth proportional to 162,073.81, 243,111.29 and 49,754.03 is: 74,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,073.81 : 243,111.29 = 49,754.03 : x
  2. Step 2: Convert to fraction form
    162,073.81/243,111.29 = 49,754.03/x
  3. Step 3: Cross multiply
    162,073.81x = 243,111.29 × 49,754.03
  4. Step 4: Simplify right side
    162,073.81x = 12,095,766,236.49
  5. Step 5: Solve for x
    x = 12,095,766,236.49/162,073.81
  6. Step 6: Final answer
    x = 74,631.22

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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.