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Finding the Fourth Proportional to 263,547.90, 363,696.24 and 142,689.24

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Solution

The fourth proportional to 263,547.90, 363,696.24 and 142,689.24 is: 196,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,547.90 : 363,696.24 = 142,689.24 : x
  2. Step 2: Convert to fraction form
    263,547.90/363,696.24 = 142,689.24/x
  3. Step 3: Cross multiply
    263,547.90x = 363,696.24 × 142,689.24
  4. Step 4: Simplify right side
    263,547.90x = 51,895,540,076.46
  5. Step 5: Solve for x
    x = 51,895,540,076.46/263,547.90
  6. Step 6: Final answer
    x = 196,911.23

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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.