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Finding the Fourth Proportional to 209,877.55, 289,622.58 and 114,382.19

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Solution

The fourth proportional to 209,877.55, 289,622.58 and 114,382.19 is: 157,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,877.55 : 289,622.58 = 114,382.19 : x
  2. Step 2: Convert to fraction form
    209,877.55/289,622.58 = 114,382.19/x
  3. Step 3: Cross multiply
    209,877.55x = 289,622.58 × 114,382.19
  4. Step 4: Simplify right side
    209,877.55x = 33,127,664,973.85
  5. Step 5: Solve for x
    x = 33,127,664,973.85/209,877.55
  6. Step 6: Final answer
    x = 157,842.82

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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.