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Finding the Fourth Proportional to 145,152.96, 217,743.21 and 56,413.32

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Solution

The fourth proportional to 145,152.96, 217,743.21 and 56,413.32 is: 84,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152.96 : 217,743.21 = 56,413.32 : x
  2. Step 2: Convert to fraction form
    145,152.96/217,743.21 = 56,413.32/x
  3. Step 3: Cross multiply
    145,152.96x = 217,743.21 × 56,413.32
  4. Step 4: Simplify right side
    145,152.96x = 12,283,617,383.56
  5. Step 5: Solve for x
    x = 12,283,617,383.56/145,152.96
  6. Step 6: Final answer
    x = 84,625.33

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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.