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Finding the Fourth Proportional to 224,883.78, 310,309.62 and 144,420.30

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Solution

The fourth proportional to 224,883.78, 310,309.62 and 144,420.30 is: 199,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,883.78 : 310,309.62 = 144,420.30 : x
  2. Step 2: Convert to fraction form
    224,883.78/310,309.62 = 144,420.30/x
  3. Step 3: Cross multiply
    224,883.78x = 310,309.62 × 144,420.30
  4. Step 4: Simplify right side
    224,883.78x = 44,815,008,413.29
  5. Step 5: Solve for x
    x = 44,815,008,413.29/224,883.78
  6. Step 6: Final answer
    x = 199,280.75

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1.5x scale

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.