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Finding the Fourth Proportional to 254,039.86, 350,563.14 and 146,644.50

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Solution

The fourth proportional to 254,039.86, 350,563.14 and 146,644.50 is: 202,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,039.86 : 350,563.14 = 146,644.50 : x
  2. Step 2: Convert to fraction form
    254,039.86/350,563.14 = 146,644.50/x
  3. Step 3: Cross multiply
    254,039.86x = 350,563.14 × 146,644.50
  4. Step 4: Simplify right side
    254,039.86x = 51,408,154,630.91
  5. Step 5: Solve for x
    x = 51,408,154,630.91/254,039.86
  6. Step 6: Final answer
    x = 202,362.55

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1.5x scale

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.