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Finding the Fourth Proportional to 254,657.16, 381,854.34 and 114,295.68

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Solution

The fourth proportional to 254,657.16, 381,854.34 and 114,295.68 is: 171,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,657.16 : 381,854.34 = 114,295.68 : x
  2. Step 2: Convert to fraction form
    254,657.16/381,854.34 = 114,295.68/x
  3. Step 3: Cross multiply
    254,657.16x = 381,854.34 × 114,295.68
  4. Step 4: Simplify right side
    254,657.16x = 43,644,301,451.25
  5. Step 5: Solve for x
    x = 43,644,301,451.25/254,657.16
  6. Step 6: Final answer
    x = 171,384.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.