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Finding the Fourth Proportional to 209,473.59, 289,077.02 and 113,980.77

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Solution

The fourth proportional to 209,473.59, 289,077.02 and 113,980.77 is: 157,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,473.59 : 289,077.02 = 113,980.77 : x
  2. Step 2: Convert to fraction form
    209,473.59/289,077.02 = 113,980.77/x
  3. Step 3: Cross multiply
    209,473.59x = 289,077.02 × 113,980.77
  4. Step 4: Simplify right side
    209,473.59x = 32,949,220,759.00
  5. Step 5: Solve for x
    x = 32,949,220,759.00/209,473.59
  6. Step 6: Final answer
    x = 157,295.35

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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.