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Finding the Fourth Proportional to 313,802.36, 470,734.34 and 89,173.16

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Solution

The fourth proportional to 313,802.36, 470,734.34 and 89,173.16 is: 133,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,802.36 : 470,734.34 = 89,173.16 : x
  2. Step 2: Convert to fraction form
    313,802.36/470,734.34 = 89,173.16/x
  3. Step 3: Cross multiply
    313,802.36x = 470,734.34 × 89,173.16
  4. Step 4: Simplify right side
    313,802.36x = 41,976,868,618.31
  5. Step 5: Solve for x
    x = 41,976,868,618.31/313,802.36
  6. Step 6: Final answer
    x = 133,768.49

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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.