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Finding the Fourth Proportional to 208,488.04, 313,078.01 and 130,100.48

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Solution

The fourth proportional to 208,488.04, 313,078.01 and 130,100.48 is: 195,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,488.04 : 313,078.01 = 130,100.48 : x
  2. Step 2: Convert to fraction form
    208,488.04/313,078.01 = 130,100.48/x
  3. Step 3: Cross multiply
    208,488.04x = 313,078.01 × 130,100.48
  4. Step 4: Simplify right side
    208,488.04x = 40,731,599,378.44
  5. Step 5: Solve for x
    x = 40,731,599,378.44/208,488.04
  6. Step 6: Final answer
    x = 195,366.60

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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.