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Finding the Fourth Proportional to 137,602.47, 206,407.66 and 37,763.49

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Solution

The fourth proportional to 137,602.47, 206,407.66 and 37,763.49 is: 56,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,602.47 : 206,407.66 = 37,763.49 : x
  2. Step 2: Convert to fraction form
    137,602.47/206,407.66 = 37,763.49/x
  3. Step 3: Cross multiply
    137,602.47x = 206,407.66 × 37,763.49
  4. Step 4: Simplify right side
    137,602.47x = 7,794,673,604.33
  5. Step 5: Solve for x
    x = 7,794,673,604.33/137,602.47
  6. Step 6: Final answer
    x = 56,646.32

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1.5x scale

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.