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Finding the Fourth Proportional to 259,242.96, 388,851.48 and 101,500.32

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Solution

The fourth proportional to 259,242.96, 388,851.48 and 101,500.32 is: 152,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,242.96 : 388,851.48 = 101,500.32 : x
  2. Step 2: Convert to fraction form
    259,242.96/388,851.48 = 101,500.32/x
  3. Step 3: Cross multiply
    259,242.96x = 388,851.48 × 101,500.32
  4. Step 4: Simplify right side
    259,242.96x = 39,468,549,652.47
  5. Step 5: Solve for x
    x = 39,468,549,652.47/259,242.96
  6. Step 6: Final answer
    x = 152,245.41

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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.