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Finding the Fourth Proportional to 255,897, 353,137.86 and 142,719.84

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Solution

The fourth proportional to 255,897, 353,137.86 and 142,719.84 is: 196,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,897 : 353,137.86 = 142,719.84 : x
  2. Step 2: Convert to fraction form
    255,897/353,137.86 = 142,719.84/x
  3. Step 3: Cross multiply
    255,897x = 353,137.86 × 142,719.84
  4. Step 4: Simplify right side
    255,897x = 50,399,778,877.14
  5. Step 5: Solve for x
    x = 50,399,778,877.14/255,897
  6. Step 6: Final answer
    x = 196,953.38

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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.