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Finding the Fourth Proportional to 209,863.88, 289,603.72 and 114,368.52

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Solution

The fourth proportional to 209,863.88, 289,603.72 and 114,368.52 is: 157,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.88 : 289,603.72 = 114,368.52 : x
  2. Step 2: Convert to fraction form
    209,863.88/289,603.72 = 114,368.52/x
  3. Step 3: Cross multiply
    209,863.88x = 289,603.72 × 114,368.52
  4. Step 4: Simplify right side
    209,863.88x = 33,121,548,842.89
  5. Step 5: Solve for x
    x = 33,121,548,842.89/209,863.88
  6. Step 6: Final answer
    x = 157,823.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.