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Finding the Fourth Proportional to 209,860.16, 289,607.04 and 114,366.80

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Solution

The fourth proportional to 209,860.16, 289,607.04 and 114,366.80 is: 157,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,860.16 : 289,607.04 = 114,366.80 : x
  2. Step 2: Convert to fraction form
    209,860.16/289,607.04 = 114,366.80/x
  3. Step 3: Cross multiply
    209,860.16x = 289,607.04 × 114,366.80
  4. Step 4: Simplify right side
    209,860.16x = 33,121,430,422.27
  5. Step 5: Solve for x
    x = 33,121,430,422.27/209,860.16
  6. Step 6: Final answer
    x = 157,826.19

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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.