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Finding the Fourth Proportional to 125,914.40, 188,698.80 and 102,586.40

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Solution

The fourth proportional to 125,914.40, 188,698.80 and 102,586.40 is: 153,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,914.40 : 188,698.80 = 102,586.40 : x
  2. Step 2: Convert to fraction form
    125,914.40/188,698.80 = 102,586.40/x
  3. Step 3: Cross multiply
    125,914.40x = 188,698.80 × 102,586.40
  4. Step 4: Simplify right side
    125,914.40x = 19,357,930,576.32
  5. Step 5: Solve for x
    x = 19,357,930,576.32/125,914.40
  6. Step 6: Final answer
    x = 153,738.81

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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.