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Finding the Fourth Proportional to 209,483.48, 314,274.44 and 69,242.11

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Solution

The fourth proportional to 209,483.48, 314,274.44 and 69,242.11 is: 103,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483.48 : 314,274.44 = 69,242.11 : x
  2. Step 2: Convert to fraction form
    209,483.48/314,274.44 = 69,242.11/x
  3. Step 3: Cross multiply
    209,483.48x = 314,274.44 × 69,242.11
  4. Step 4: Simplify right side
    209,483.48x = 21,761,023,427.09
  5. Step 5: Solve for x
    x = 21,761,023,427.09/209,483.48
  6. Step 6: Final answer
    x = 103,879.42

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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.