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Finding the Fourth Proportional to 259,803, 388,578.69 and 152,932.32

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Solution

The fourth proportional to 259,803, 388,578.69 and 152,932.32 is: 228,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,803 : 388,578.69 = 152,932.32 : x
  2. Step 2: Convert to fraction form
    259,803/388,578.69 = 152,932.32/x
  3. Step 3: Cross multiply
    259,803x = 388,578.69 × 152,932.32
  4. Step 4: Simplify right side
    259,803x = 59,426,240,564.26
  5. Step 5: Solve for x
    x = 59,426,240,564.26/259,803
  6. Step 6: Final answer
    x = 228,735.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.