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Finding the Fourth Proportional to 197,293.84, 295,810.75 and 70,870.66

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Solution

The fourth proportional to 197,293.84, 295,810.75 and 70,870.66 is: 106,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,293.84 : 295,810.75 = 70,870.66 : x
  2. Step 2: Convert to fraction form
    197,293.84/295,810.75 = 70,870.66/x
  3. Step 3: Cross multiply
    197,293.84x = 295,810.75 × 70,870.66
  4. Step 4: Simplify right side
    197,293.84x = 20,964,303,087.60
  5. Step 5: Solve for x
    x = 20,964,303,087.60/197,293.84
  6. Step 6: Final answer
    x = 106,259.29

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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.