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Finding the Fourth Proportional to 254,787.90, 351,641.42 and 164,406.63

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Solution

The fourth proportional to 254,787.90, 351,641.42 and 164,406.63 is: 226,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,787.90 : 351,641.42 = 164,406.63 : x
  2. Step 2: Convert to fraction form
    254,787.90/351,641.42 = 164,406.63/x
  3. Step 3: Cross multiply
    254,787.90x = 351,641.42 × 164,406.63
  4. Step 4: Simplify right side
    254,787.90x = 57,812,180,008.58
  5. Step 5: Solve for x
    x = 57,812,180,008.58/254,787.90
  6. Step 6: Final answer
    x = 226,903.16

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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.