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Finding the Fourth Proportional to 254,803.76, 351,628.19 and 140,089.64

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Solution

The fourth proportional to 254,803.76, 351,628.19 and 140,089.64 is: 193,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,803.76 : 351,628.19 = 140,089.64 : x
  2. Step 2: Convert to fraction form
    254,803.76/351,628.19 = 140,089.64/x
  3. Step 3: Cross multiply
    254,803.76x = 351,628.19 × 140,089.64
  4. Step 4: Simplify right side
    254,803.76x = 49,259,464,617.70
  5. Step 5: Solve for x
    x = 49,259,464,617.70/254,803.76
  6. Step 6: Final answer
    x = 193,323.15

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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.