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Finding the Fourth Proportional to 305,089.35, 457,629.12 and 94,727.49

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Solution

The fourth proportional to 305,089.35, 457,629.12 and 94,727.49 is: 142,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,089.35 : 457,629.12 = 94,727.49 : x
  2. Step 2: Convert to fraction form
    305,089.35/457,629.12 = 94,727.49/x
  3. Step 3: Cross multiply
    305,089.35x = 457,629.12 × 94,727.49
  4. Step 4: Simplify right side
    305,089.35x = 43,350,057,888.51
  5. Step 5: Solve for x
    x = 43,350,057,888.51/305,089.35
  6. Step 6: Final answer
    x = 142,089.71

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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.