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Finding the Fourth Proportional to 254,203.76, 350,817.81 and 146,778.32

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Solution

The fourth proportional to 254,203.76, 350,817.81 and 146,778.32 is: 202,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,203.76 : 350,817.81 = 146,778.32 : x
  2. Step 2: Convert to fraction form
    254,203.76/350,817.81 = 146,778.32/x
  3. Step 3: Cross multiply
    254,203.76x = 350,817.81 × 146,778.32
  4. Step 4: Simplify right side
    254,203.76x = 51,492,448,777.88
  5. Step 5: Solve for x
    x = 51,492,448,777.88/254,203.76
  6. Step 6: Final answer
    x = 202,563.68

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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.