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Finding the Fourth Proportional to 137,186.47, 206,807.94 and 128,042.08

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Solution

The fourth proportional to 137,186.47, 206,807.94 and 128,042.08 is: 193,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,186.47 : 206,807.94 = 128,042.08 : x
  2. Step 2: Convert to fraction form
    137,186.47/206,807.94 = 128,042.08/x
  3. Step 3: Cross multiply
    137,186.47x = 206,807.94 × 128,042.08
  4. Step 4: Simplify right side
    137,186.47x = 26,480,118,281.10
  5. Step 5: Solve for x
    x = 26,480,118,281.10/137,186.47
  6. Step 6: Final answer
    x = 193,022.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.