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Finding the Fourth Proportional to 239,212.80, 358,300.80 and 197,740.80

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Solution

The fourth proportional to 239,212.80, 358,300.80 and 197,740.80 is: 296,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,212.80 : 358,300.80 = 197,740.80 : x
  2. Step 2: Convert to fraction form
    239,212.80/358,300.80 = 197,740.80/x
  3. Step 3: Cross multiply
    239,212.80x = 358,300.80 × 197,740.80
  4. Step 4: Simplify right side
    239,212.80x = 70,850,686,832.64
  5. Step 5: Solve for x
    x = 70,850,686,832.64/239,212.80
  6. Step 6: Final answer
    x = 296,182.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.