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Finding the Fourth Proportional to 209,853.76, 314,842.16 and 67,696.20

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Solution

The fourth proportional to 209,853.76, 314,842.16 and 67,696.20 is: 101,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,853.76 : 314,842.16 = 67,696.20 : x
  2. Step 2: Convert to fraction form
    209,853.76/314,842.16 = 67,696.20/x
  3. Step 3: Cross multiply
    209,853.76x = 314,842.16 × 67,696.20
  4. Step 4: Simplify right side
    209,853.76x = 21,313,617,831.79
  5. Step 5: Solve for x
    x = 21,313,617,831.79/209,853.76
  6. Step 6: Final answer
    x = 101,564.15

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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.