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Finding the Fourth Proportional to 313,187.42, 469,722.09 and 88,546.07

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Solution

The fourth proportional to 313,187.42, 469,722.09 and 88,546.07 is: 132,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,187.42 : 469,722.09 = 88,546.07 : x
  2. Step 2: Convert to fraction form
    313,187.42/469,722.09 = 88,546.07/x
  3. Step 3: Cross multiply
    313,187.42x = 469,722.09 × 88,546.07
  4. Step 4: Simplify right side
    313,187.42x = 41,592,045,061.69
  5. Step 5: Solve for x
    x = 41,592,045,061.69/313,187.42
  6. Step 6: Final answer
    x = 132,802.41

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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.