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Finding the Fourth Proportional to 313,683.67, 470,260.97 and 136,056.88

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Solution

The fourth proportional to 313,683.67, 470,260.97 and 136,056.88 is: 203,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,683.67 : 470,260.97 = 136,056.88 : x
  2. Step 2: Convert to fraction form
    313,683.67/470,260.97 = 136,056.88/x
  3. Step 3: Cross multiply
    313,683.67x = 470,260.97 × 136,056.88
  4. Step 4: Simplify right side
    313,683.67x = 63,982,237,332.38
  5. Step 5: Solve for x
    x = 63,982,237,332.38/313,683.67
  6. Step 6: Final answer
    x = 203,970.57

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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.