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Finding the Fourth Proportional to 213,852, 295,193.52 and 124,428

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Solution

The fourth proportional to 213,852, 295,193.52 and 124,428 is: 171,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,852 : 295,193.52 = 124,428 : x
  2. Step 2: Convert to fraction form
    213,852/295,193.52 = 124,428/x
  3. Step 3: Cross multiply
    213,852x = 295,193.52 × 124,428
  4. Step 4: Simplify right side
    213,852x = 36,730,339,306.56
  5. Step 5: Solve for x
    x = 36,730,339,306.56/213,852
  6. Step 6: Final answer
    x = 171,755.88

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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.