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Finding the Fourth Proportional to 197,135.40, 295,703.10 and 84,869.40

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Solution

The fourth proportional to 197,135.40, 295,703.10 and 84,869.40 is: 127,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,135.40 : 295,703.10 = 84,869.40 : x
  2. Step 2: Convert to fraction form
    197,135.40/295,703.10 = 84,869.40/x
  3. Step 3: Cross multiply
    197,135.40x = 295,703.10 × 84,869.40
  4. Step 4: Simplify right side
    197,135.40x = 25,096,144,675.14
  5. Step 5: Solve for x
    x = 25,096,144,675.14/197,135.40
  6. Step 6: Final answer
    x = 127,304.10

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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.