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Finding the Fourth Proportional to 209,663.40, 289,272.30 and 189,455.40

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Solution

The fourth proportional to 209,663.40, 289,272.30 and 189,455.40 is: 261,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,663.40 : 289,272.30 = 189,455.40 : x
  2. Step 2: Convert to fraction form
    209,663.40/289,272.30 = 189,455.40/x
  3. Step 3: Cross multiply
    209,663.40x = 289,272.30 × 189,455.40
  4. Step 4: Simplify right side
    209,663.40x = 54,804,199,305.42
  5. Step 5: Solve for x
    x = 54,804,199,305.42/209,663.40
  6. Step 6: Final answer
    x = 261,391.35

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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.