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Finding the Fourth Proportional to 197,201.40, 295,802.10 and 55,046.40

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Solution

The fourth proportional to 197,201.40, 295,802.10 and 55,046.40 is: 82,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201.40 : 295,802.10 = 55,046.40 : x
  2. Step 2: Convert to fraction form
    197,201.40/295,802.10 = 55,046.40/x
  3. Step 3: Cross multiply
    197,201.40x = 295,802.10 × 55,046.40
  4. Step 4: Simplify right side
    197,201.40x = 16,282,840,717.44
  5. Step 5: Solve for x
    x = 16,282,840,717.44/197,201.40
  6. Step 6: Final answer
    x = 82,569.60

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1.5x scale

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.