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Finding the Fourth Proportional to 259,567, 358,202.54 and 140,335

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Solution

The fourth proportional to 259,567, 358,202.54 and 140,335 is: 193,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,567 : 358,202.54 = 140,335 : x
  2. Step 2: Convert to fraction form
    259,567/358,202.54 = 140,335/x
  3. Step 3: Cross multiply
    259,567x = 358,202.54 × 140,335
  4. Step 4: Simplify right side
    259,567x = 50,268,353,450.90
  5. Step 5: Solve for x
    x = 50,268,353,450.90/259,567
  6. Step 6: Final answer
    x = 193,662.34

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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.