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Finding the Fourth Proportional to 213,791.61, 295,020.14 and 118,293.51

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Solution

The fourth proportional to 213,791.61, 295,020.14 and 118,293.51 is: 163,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,791.61 : 295,020.14 = 118,293.51 : x
  2. Step 2: Convert to fraction form
    213,791.61/295,020.14 = 118,293.51/x
  3. Step 3: Cross multiply
    213,791.61x = 295,020.14 × 118,293.51
  4. Step 4: Simplify right side
    213,791.61x = 34,898,967,289.82
  5. Step 5: Solve for x
    x = 34,898,967,289.82/213,791.61
  6. Step 6: Final answer
    x = 163,238.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.