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Finding the Fourth Proportional to 224,832.28, 310,413.22 and 144,294.52

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Solution

The fourth proportional to 224,832.28, 310,413.22 and 144,294.52 is: 199,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,832.28 : 310,413.22 = 144,294.52 : x
  2. Step 2: Convert to fraction form
    224,832.28/310,413.22 = 144,294.52/x
  3. Step 3: Cross multiply
    224,832.28x = 310,413.22 × 144,294.52
  4. Step 4: Simplify right side
    224,832.28x = 44,790,926,581.55
  5. Step 5: Solve for x
    x = 44,790,926,581.55/224,832.28
  6. Step 6: Final answer
    x = 199,219.29

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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.