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Finding the Fourth Proportional to 313,544.06, 470,216.72 and 103,133.06

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Solution

The fourth proportional to 313,544.06, 470,216.72 and 103,133.06 is: 154,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,544.06 : 470,216.72 = 103,133.06 : x
  2. Step 2: Convert to fraction form
    313,544.06/470,216.72 = 103,133.06/x
  3. Step 3: Cross multiply
    313,544.06x = 470,216.72 × 103,133.06
  4. Step 4: Simplify right side
    313,544.06x = 48,494,889,196.76
  5. Step 5: Solve for x
    x = 48,494,889,196.76/313,544.06
  6. Step 6: Final answer
    x = 154,666.90

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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.