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Finding the Fourth Proportional to 209,860.53, 314,883.74 and 109,996.98

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Solution

The fourth proportional to 209,860.53, 314,883.74 and 109,996.98 is: 165,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,860.53 : 314,883.74 = 109,996.98 : x
  2. Step 2: Convert to fraction form
    209,860.53/314,883.74 = 109,996.98/x
  3. Step 3: Cross multiply
    209,860.53x = 314,883.74 × 109,996.98
  4. Step 4: Simplify right side
    209,860.53x = 34,636,258,326.70
  5. Step 5: Solve for x
    x = 34,636,258,326.70/209,860.53
  6. Step 6: Final answer
    x = 165,044.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.