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Finding the Fourth Proportional to 209,035.57, 314,947.93 and 189,068.11

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Solution

The fourth proportional to 209,035.57, 314,947.93 and 189,068.11 is: 284,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,035.57 : 314,947.93 = 189,068.11 : x
  2. Step 2: Convert to fraction form
    209,035.57/314,947.93 = 189,068.11/x
  3. Step 3: Cross multiply
    209,035.57x = 314,947.93 × 189,068.11
  4. Step 4: Simplify right side
    209,035.57x = 59,546,609,873.51
  5. Step 5: Solve for x
    x = 59,546,609,873.51/209,035.57
  6. Step 6: Final answer
    x = 284,863.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.