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Finding the Fourth Proportional to 197,870.62, 296,313.58 and 138,427.96

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Solution

The fourth proportional to 197,870.62, 296,313.58 and 138,427.96 is: 207,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,870.62 : 296,313.58 = 138,427.96 : x
  2. Step 2: Convert to fraction form
    197,870.62/296,313.58 = 138,427.96/x
  3. Step 3: Cross multiply
    197,870.62x = 296,313.58 × 138,427.96
  4. Step 4: Simplify right side
    197,870.62x = 41,018,084,399.70
  5. Step 5: Solve for x
    x = 41,018,084,399.70/197,870.62
  6. Step 6: Final answer
    x = 207,297.50

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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.