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Finding the Fourth Proportional to 321,803.32, 482,782.98 and 97,150.33

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Solution

The fourth proportional to 321,803.32, 482,782.98 and 97,150.33 is: 145,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,803.32 : 482,782.98 = 97,150.33 : x
  2. Step 2: Convert to fraction form
    321,803.32/482,782.98 = 97,150.33/x
  3. Step 3: Cross multiply
    321,803.32x = 482,782.98 × 97,150.33
  4. Step 4: Simplify right side
    321,803.32x = 46,902,525,825.38
  5. Step 5: Solve for x
    x = 46,902,525,825.38/321,803.32
  6. Step 6: Final answer
    x = 145,749.04

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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.