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Finding the Fourth Proportional to 213,514.00, 294,649.38 and 116,718.28

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Solution

The fourth proportional to 213,514.00, 294,649.38 and 116,718.28 is: 161,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,514.00 : 294,649.38 = 116,718.28 : x
  2. Step 2: Convert to fraction form
    213,514.00/294,649.38 = 116,718.28/x
  3. Step 3: Cross multiply
    213,514.00x = 294,649.38 × 116,718.28
  4. Step 4: Simplify right side
    213,514.00x = 34,390,968,100.04
  5. Step 5: Solve for x
    x = 34,390,968,100.04/213,514.00
  6. Step 6: Final answer
    x = 161,071.26

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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.