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Finding the Fourth Proportional to 254,803.20, 382,208.16 and 97,040.28

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Solution

The fourth proportional to 254,803.20, 382,208.16 and 97,040.28 is: 145,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,803.20 : 382,208.16 = 97,040.28 : x
  2. Step 2: Convert to fraction form
    254,803.20/382,208.16 = 97,040.28/x
  3. Step 3: Cross multiply
    254,803.20x = 382,208.16 × 97,040.28
  4. Step 4: Simplify right side
    254,803.20x = 37,089,586,864.68
  5. Step 5: Solve for x
    x = 37,089,586,864.68/254,803.20
  6. Step 6: Final answer
    x = 145,561.70

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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.