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Finding the Fourth Proportional to 313,795.68, 470,893.68 and 114,096.92

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Solution

The fourth proportional to 313,795.68, 470,893.68 and 114,096.92 is: 171,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,795.68 : 470,893.68 = 114,096.92 : x
  2. Step 2: Convert to fraction form
    313,795.68/470,893.68 = 114,096.92/x
  3. Step 3: Cross multiply
    313,795.68x = 470,893.68 × 114,096.92
  4. Step 4: Simplify right side
    313,795.68x = 53,727,518,535.47
  5. Step 5: Solve for x
    x = 53,727,518,535.47/313,795.68
  6. Step 6: Final answer
    x = 171,218.16

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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.