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Finding the Fourth Proportional to 209,953.40, 314,930.10 and 185,021.60

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Solution

The fourth proportional to 209,953.40, 314,930.10 and 185,021.60 is: 277,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.40 : 314,930.10 = 185,021.60 : x
  2. Step 2: Convert to fraction form
    209,953.40/314,930.10 = 185,021.60/x
  3. Step 3: Cross multiply
    209,953.40x = 314,930.10 × 185,021.60
  4. Step 4: Simplify right side
    209,953.40x = 58,268,870,990.16
  5. Step 5: Solve for x
    x = 58,268,870,990.16/209,953.40
  6. Step 6: Final answer
    x = 277,532.40

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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.