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Finding the Fourth Proportional to 257,161, 354,881.78 and 143,983.76

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Solution

The fourth proportional to 257,161, 354,881.78 and 143,983.76 is: 198,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,161 : 354,881.78 = 143,983.76 : x
  2. Step 2: Convert to fraction form
    257,161/354,881.78 = 143,983.76/x
  3. Step 3: Cross multiply
    257,161x = 354,881.78 × 143,983.76
  4. Step 4: Simplify right side
    257,161x = 51,097,213,039.89
  5. Step 5: Solve for x
    x = 51,097,213,039.89/257,161
  6. Step 6: Final answer
    x = 198,697.36

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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.