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Finding the Fourth Proportional to 213,643.83, 294,816.51 and 116,828.48

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Solution

The fourth proportional to 213,643.83, 294,816.51 and 116,828.48 is: 161,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,643.83 : 294,816.51 = 116,828.48 : x
  2. Step 2: Convert to fraction form
    213,643.83/294,816.51 = 116,828.48/x
  3. Step 3: Cross multiply
    213,643.83x = 294,816.51 × 116,828.48
  4. Step 4: Simplify right side
    213,643.83x = 34,442,965,479.25
  5. Step 5: Solve for x
    x = 34,442,965,479.25/213,643.83
  6. Step 6: Final answer
    x = 161,216.75

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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.