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Finding the Fourth Proportional to 137,133.33, 205,714.58 and 37,295.16

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Solution

The fourth proportional to 137,133.33, 205,714.58 and 37,295.16 is: 55,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,133.33 : 205,714.58 = 37,295.16 : x
  2. Step 2: Convert to fraction form
    137,133.33/205,714.58 = 37,295.16/x
  3. Step 3: Cross multiply
    137,133.33x = 205,714.58 × 37,295.16
  4. Step 4: Simplify right side
    137,133.33x = 7,672,158,175.43
  5. Step 5: Solve for x
    x = 7,672,158,175.43/137,133.33
  6. Step 6: Final answer
    x = 55,946.71

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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.