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Finding the Fourth Proportional to 209,813.94, 314,995.26 and 124,580.34

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Solution

The fourth proportional to 209,813.94, 314,995.26 and 124,580.34 is: 187,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.94 : 314,995.26 = 124,580.34 : x
  2. Step 2: Convert to fraction form
    209,813.94/314,995.26 = 124,580.34/x
  3. Step 3: Cross multiply
    209,813.94x = 314,995.26 × 124,580.34
  4. Step 4: Simplify right side
    209,813.94x = 39,242,216,589.19
  5. Step 5: Solve for x
    x = 39,242,216,589.19/209,813.94
  6. Step 6: Final answer
    x = 187,033.41

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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.