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Finding the Fourth Proportional to 254,477.28, 381,657.60 and 114,276

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Solution

The fourth proportional to 254,477.28, 381,657.60 and 114,276 is: 171,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,477.28 : 381,657.60 = 114,276 : x
  2. Step 2: Convert to fraction form
    254,477.28/381,657.60 = 114,276/x
  3. Step 3: Cross multiply
    254,477.28x = 381,657.60 × 114,276
  4. Step 4: Simplify right side
    254,477.28x = 43,614,303,897.60
  5. Step 5: Solve for x
    x = 43,614,303,897.60/254,477.28
  6. Step 6: Final answer
    x = 171,387.81

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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.