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Finding the Fourth Proportional to 208,352.40, 287,505.72 and 116,454.48

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Solution

The fourth proportional to 208,352.40, 287,505.72 and 116,454.48 is: 160,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,352.40 : 287,505.72 = 116,454.48 : x
  2. Step 2: Convert to fraction form
    208,352.40/287,505.72 = 116,454.48/x
  3. Step 3: Cross multiply
    208,352.40x = 287,505.72 × 116,454.48
  4. Step 4: Simplify right side
    208,352.40x = 33,481,329,119.63
  5. Step 5: Solve for x
    x = 33,481,329,119.63/208,352.40
  6. Step 6: Final answer
    x = 160,695.67

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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.