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Finding the Fourth Proportional to 259,830.82, 358,488.11 and 150,914.14

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Solution

The fourth proportional to 259,830.82, 358,488.11 and 150,914.14 is: 208,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,830.82 : 358,488.11 = 150,914.14 : x
  2. Step 2: Convert to fraction form
    259,830.82/358,488.11 = 150,914.14/x
  3. Step 3: Cross multiply
    259,830.82x = 358,488.11 × 150,914.14
  4. Step 4: Simplify right side
    259,830.82x = 54,100,924,301.94
  5. Step 5: Solve for x
    x = 54,100,924,301.94/259,830.82
  6. Step 6: Final answer
    x = 208,215.96

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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.