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Finding the Fourth Proportional to 313,833, 470,484.15 and 136,206.48

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Solution

The fourth proportional to 313,833, 470,484.15 and 136,206.48 is: 204,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,833 : 470,484.15 = 136,206.48 : x
  2. Step 2: Convert to fraction form
    313,833/470,484.15 = 136,206.48/x
  3. Step 3: Cross multiply
    313,833x = 470,484.15 × 136,206.48
  4. Step 4: Simplify right side
    313,833x = 64,082,989,967.29
  5. Step 5: Solve for x
    x = 64,082,989,967.29/313,833
  6. Step 6: Final answer
    x = 204,194.56

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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.