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Finding the Fourth Proportional to 183,264.81, 274,871.70 and 50,156.70

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Solution

The fourth proportional to 183,264.81, 274,871.70 and 50,156.70 is: 75,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,264.81 : 274,871.70 = 50,156.70 : x
  2. Step 2: Convert to fraction form
    183,264.81/274,871.70 = 50,156.70/x
  3. Step 3: Cross multiply
    183,264.81x = 274,871.70 × 50,156.70
  4. Step 4: Simplify right side
    183,264.81x = 13,786,657,395.39
  5. Step 5: Solve for x
    x = 13,786,657,395.39/183,264.81
  6. Step 6: Final answer
    x = 75,228.07

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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.