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Finding the Fourth Proportional to 254,871.36, 351,682.56 and 147,432.96

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Solution

The fourth proportional to 254,871.36, 351,682.56 and 147,432.96 is: 203,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,871.36 : 351,682.56 = 147,432.96 : x
  2. Step 2: Convert to fraction form
    254,871.36/351,682.56 = 147,432.96/x
  3. Step 3: Cross multiply
    254,871.36x = 351,682.56 × 147,432.96
  4. Step 4: Simplify right side
    254,871.36x = 51,849,600,801.18
  5. Step 5: Solve for x
    x = 51,849,600,801.18/254,871.36
  6. Step 6: Final answer
    x = 203,434.39

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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.