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Finding the Fourth Proportional to 209,881.16, 314,914.49 and 110,017.47

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Solution

The fourth proportional to 209,881.16, 314,914.49 and 110,017.47 is: 165,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,881.16 : 314,914.49 = 110,017.47 : x
  2. Step 2: Convert to fraction form
    209,881.16/314,914.49 = 110,017.47/x
  3. Step 3: Cross multiply
    209,881.16x = 314,914.49 × 110,017.47
  4. Step 4: Simplify right side
    209,881.16x = 34,646,095,456.14
  5. Step 5: Solve for x
    x = 34,646,095,456.14/209,881.16
  6. Step 6: Final answer
    x = 165,074.82

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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.