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Finding the Fourth Proportional to 238,266.40, 357,302.40 and 80,413.60

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Solution

The fourth proportional to 238,266.40, 357,302.40 and 80,413.60 is: 120,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,266.40 : 357,302.40 = 80,413.60 : x
  2. Step 2: Convert to fraction form
    238,266.40/357,302.40 = 80,413.60/x
  3. Step 3: Cross multiply
    238,266.40x = 357,302.40 × 80,413.60
  4. Step 4: Simplify right side
    238,266.40x = 28,731,972,272.64
  5. Step 5: Solve for x
    x = 28,731,972,272.64/238,266.40
  6. Step 6: Final answer
    x = 120,587.60

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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.