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Finding the Fourth Proportional to 209,701.80, 289,391.94 and 114,210.36

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Solution

The fourth proportional to 209,701.80, 289,391.94 and 114,210.36 is: 157,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,701.80 : 289,391.94 = 114,210.36 : x
  2. Step 2: Convert to fraction form
    209,701.80/289,391.94 = 114,210.36/x
  3. Step 3: Cross multiply
    209,701.80x = 289,391.94 × 114,210.36
  4. Step 4: Simplify right side
    209,701.80x = 33,051,557,648.50
  5. Step 5: Solve for x
    x = 33,051,557,648.50/209,701.80
  6. Step 6: Final answer
    x = 157,612.18

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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.