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Finding the Fourth Proportional to 259,241, 357,752.58 and 140,009

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Solution

The fourth proportional to 259,241, 357,752.58 and 140,009 is: 193,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,241 : 357,752.58 = 140,009 : x
  2. Step 2: Convert to fraction form
    259,241/357,752.58 = 140,009/x
  3. Step 3: Cross multiply
    259,241x = 357,752.58 × 140,009
  4. Step 4: Simplify right side
    259,241x = 50,088,580,973.22
  5. Step 5: Solve for x
    x = 50,088,580,973.22/259,241
  6. Step 6: Final answer
    x = 193,212.42

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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.