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Finding the Fourth Proportional to 303,538.88, 455,357.70 and 114,014

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Solution

The fourth proportional to 303,538.88, 455,357.70 and 114,014 is: 171,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,538.88 : 455,357.70 = 114,014 : x
  2. Step 2: Convert to fraction form
    303,538.88/455,357.70 = 114,014/x
  3. Step 3: Cross multiply
    303,538.88x = 455,357.70 × 114,014
  4. Step 4: Simplify right side
    303,538.88x = 51,917,152,807.80
  5. Step 5: Solve for x
    x = 51,917,152,807.80/303,538.88
  6. Step 6: Final answer
    x = 171,039.55

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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.