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Finding the Fourth Proportional to 254,594.96, 351,294.72 and 147,125.60

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Solution

The fourth proportional to 254,594.96, 351,294.72 and 147,125.60 is: 203,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,594.96 : 351,294.72 = 147,125.60 : x
  2. Step 2: Convert to fraction form
    254,594.96/351,294.72 = 147,125.60/x
  3. Step 3: Cross multiply
    254,594.96x = 351,294.72 × 147,125.60
  4. Step 4: Simplify right side
    254,594.96x = 51,684,446,456.83
  5. Step 5: Solve for x
    x = 51,684,446,456.83/254,594.96
  6. Step 6: Final answer
    x = 203,006.56

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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.