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Finding the Fourth Proportional to 209,874.66, 314,904.73 and 110,010.97

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Solution

The fourth proportional to 209,874.66, 314,904.73 and 110,010.97 is: 165,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,874.66 : 314,904.73 = 110,010.97 : x
  2. Step 2: Convert to fraction form
    209,874.66/314,904.73 = 110,010.97/x
  3. Step 3: Cross multiply
    209,874.66x = 314,904.73 × 110,010.97
  4. Step 4: Simplify right side
    209,874.66x = 34,642,974,804.89
  5. Step 5: Solve for x
    x = 34,642,974,804.89/209,874.66
  6. Step 6: Final answer
    x = 165,065.07

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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.