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Finding the Fourth Proportional to 209,256.46, 288,775.74 and 113,763.22

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Solution

The fourth proportional to 209,256.46, 288,775.74 and 113,763.22 is: 156,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,256.46 : 288,775.74 = 113,763.22 : x
  2. Step 2: Convert to fraction form
    209,256.46/288,775.74 = 113,763.22/x
  3. Step 3: Cross multiply
    209,256.46x = 288,775.74 × 113,763.22
  4. Step 4: Simplify right side
    209,256.46x = 32,852,058,040.28
  5. Step 5: Solve for x
    x = 32,852,058,040.28/209,256.46
  6. Step 6: Final answer
    x = 156,994.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.