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Finding the Fourth Proportional to 203,152.47, 304,676.74 and 83,293.93

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Solution

The fourth proportional to 203,152.47, 304,676.74 and 83,293.93 is: 124,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,152.47 : 304,676.74 = 83,293.93 : x
  2. Step 2: Convert to fraction form
    203,152.47/304,676.74 = 83,293.93/x
  3. Step 3: Cross multiply
    203,152.47x = 304,676.74 × 83,293.93
  4. Step 4: Simplify right side
    203,152.47x = 25,377,723,054.19
  5. Step 5: Solve for x
    x = 25,377,723,054.19/203,152.47
  6. Step 6: Final answer
    x = 124,919.59

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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.