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Finding the Fourth Proportional to 259,189.86, 357,638.64 and 144,443.37

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Solution

The fourth proportional to 259,189.86, 357,638.64 and 144,443.37 is: 199,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,189.86 : 357,638.64 = 144,443.37 : x
  2. Step 2: Convert to fraction form
    259,189.86/357,638.64 = 144,443.37/x
  3. Step 3: Cross multiply
    259,189.86x = 357,638.64 × 144,443.37
  4. Step 4: Simplify right side
    259,189.86x = 51,658,530,403.82
  5. Step 5: Solve for x
    x = 51,658,530,403.82/259,189.86
  6. Step 6: Final answer
    x = 199,307.68

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1.5x scale

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.