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Finding the Fourth Proportional to 259,704.58, 358,401.64 and 150,800.76

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Solution

The fourth proportional to 259,704.58, 358,401.64 and 150,800.76 is: 208,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,704.58 : 358,401.64 = 150,800.76 : x
  2. Step 2: Convert to fraction form
    259,704.58/358,401.64 = 150,800.76/x
  3. Step 3: Cross multiply
    259,704.58x = 358,401.64 × 150,800.76
  4. Step 4: Simplify right side
    259,704.58x = 54,047,239,697.25
  5. Step 5: Solve for x
    x = 54,047,239,697.25/259,704.58
  6. Step 6: Final answer
    x = 208,110.46

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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.