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Finding the Fourth Proportional to 209,643.55, 289,313.30 and 114,155.48

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Solution

The fourth proportional to 209,643.55, 289,313.30 and 114,155.48 is: 157,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,643.55 : 289,313.30 = 114,155.48 : x
  2. Step 2: Convert to fraction form
    209,643.55/289,313.30 = 114,155.48/x
  3. Step 3: Cross multiply
    209,643.55x = 289,313.30 × 114,155.48
  4. Step 4: Simplify right side
    209,643.55x = 33,026,698,631.88
  5. Step 5: Solve for x
    x = 33,026,698,631.88/209,643.55
  6. Step 6: Final answer
    x = 157,537.39

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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.