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Finding the Fourth Proportional to 281,413.90, 388,351.02 and 154,089.46

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Solution

The fourth proportional to 281,413.90, 388,351.02 and 154,089.46 is: 212,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,413.90 : 388,351.02 = 154,089.46 : x
  2. Step 2: Convert to fraction form
    281,413.90/388,351.02 = 154,089.46/x
  3. Step 3: Cross multiply
    281,413.90x = 388,351.02 × 154,089.46
  4. Step 4: Simplify right side
    281,413.90x = 59,840,798,962.25
  5. Step 5: Solve for x
    x = 59,840,798,962.25/281,413.90
  6. Step 6: Final answer
    x = 212,643.37

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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.