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Finding the Fourth Proportional to 281,669, 388,703.22 and 162,437

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Solution

The fourth proportional to 281,669, 388,703.22 and 162,437 is: 224,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,669 : 388,703.22 = 162,437 : x
  2. Step 2: Convert to fraction form
    281,669/388,703.22 = 162,437/x
  3. Step 3: Cross multiply
    281,669x = 388,703.22 × 162,437
  4. Step 4: Simplify right side
    281,669x = 63,139,784,947.14
  5. Step 5: Solve for x
    x = 63,139,784,947.14/281,669
  6. Step 6: Final answer
    x = 224,163.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.