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Finding the Fourth Proportional to 357,890.61, 536,442.26 and 147,413.73

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Solution

The fourth proportional to 357,890.61, 536,442.26 and 147,413.73 is: 220,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,890.61 : 536,442.26 = 147,413.73 : x
  2. Step 2: Convert to fraction form
    357,890.61/536,442.26 = 147,413.73/x
  3. Step 3: Cross multiply
    357,890.61x = 536,442.26 × 147,413.73
  4. Step 4: Simplify right side
    357,890.61x = 79,078,954,476.23
  5. Step 5: Solve for x
    x = 79,078,954,476.23/357,890.61
  6. Step 6: Final answer
    x = 220,958.45

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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.