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Finding the Fourth Proportional to 197,113.40, 295,880.54 and 84,849.20

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Solution

The fourth proportional to 197,113.40, 295,880.54 and 84,849.20 is: 127,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,113.40 : 295,880.54 = 84,849.20 : x
  2. Step 2: Convert to fraction form
    197,113.40/295,880.54 = 84,849.20/x
  3. Step 3: Cross multiply
    197,113.40x = 295,880.54 × 84,849.20
  4. Step 4: Simplify right side
    197,113.40x = 25,105,227,114.57
  5. Step 5: Solve for x
    x = 25,105,227,114.57/197,113.40
  6. Step 6: Final answer
    x = 127,364.39

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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.