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Finding the Fourth Proportional to 213,459.33, 294,574.79 and 116,665.14

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Solution

The fourth proportional to 213,459.33, 294,574.79 and 116,665.14 is: 160,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,459.33 : 294,574.79 = 116,665.14 : x
  2. Step 2: Convert to fraction form
    213,459.33/294,574.79 = 116,665.14/x
  3. Step 3: Cross multiply
    213,459.33x = 294,574.79 × 116,665.14
  4. Step 4: Simplify right side
    213,459.33x = 34,366,609,115.82
  5. Step 5: Solve for x
    x = 34,366,609,115.82/213,459.33
  6. Step 6: Final answer
    x = 160,998.39

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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.