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Finding the Fourth Proportional to 209,970.22, 289,763.42 and 114,477.56

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Solution

The fourth proportional to 209,970.22, 289,763.42 and 114,477.56 is: 157,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,970.22 : 289,763.42 = 114,477.56 : x
  2. Step 2: Convert to fraction form
    209,970.22/289,763.42 = 114,477.56/x
  3. Step 3: Cross multiply
    209,970.22x = 289,763.42 × 114,477.56
  4. Step 4: Simplify right side
    209,970.22x = 33,171,409,298.86
  5. Step 5: Solve for x
    x = 33,171,409,298.86/209,970.22
  6. Step 6: Final answer
    x = 157,981.50

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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.