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Finding the Fourth Proportional to 209,854.34, 289,599.03 and 114,361.05

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Solution

The fourth proportional to 209,854.34, 289,599.03 and 114,361.05 is: 157,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.34 : 289,599.03 = 114,361.05 : x
  2. Step 2: Convert to fraction form
    209,854.34/289,599.03 = 114,361.05/x
  3. Step 3: Cross multiply
    209,854.34x = 289,599.03 × 114,361.05
  4. Step 4: Simplify right side
    209,854.34x = 33,118,849,149.78
  5. Step 5: Solve for x
    x = 33,118,849,149.78/209,854.34
  6. Step 6: Final answer
    x = 157,818.27

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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.