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Finding the Fourth Proportional to 252,055.54, 347,820.36 and 150,088.48

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Solution

The fourth proportional to 252,055.54, 347,820.36 and 150,088.48 is: 207,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,055.54 : 347,820.36 = 150,088.48 : x
  2. Step 2: Convert to fraction form
    252,055.54/347,820.36 = 150,088.48/x
  3. Step 3: Cross multiply
    252,055.54x = 347,820.36 × 150,088.48
  4. Step 4: Simplify right side
    252,055.54x = 52,203,829,145.45
  5. Step 5: Solve for x
    x = 52,203,829,145.45/252,055.54
  6. Step 6: Final answer
    x = 207,112.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.