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Finding the Fourth Proportional to 209,863.90, 289,603.74 and 114,368.53

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Solution

The fourth proportional to 209,863.90, 289,603.74 and 114,368.53 is: 157,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.90 : 289,603.74 = 114,368.53 : x
  2. Step 2: Convert to fraction form
    209,863.90/289,603.74 = 114,368.53/x
  3. Step 3: Cross multiply
    209,863.90x = 289,603.74 × 114,368.53
  4. Step 4: Simplify right side
    209,863.90x = 33,121,554,026.30
  5. Step 5: Solve for x
    x = 33,121,554,026.30/209,863.90
  6. Step 6: Final answer
    x = 157,823.97

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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.