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Finding the Fourth Proportional to 252,133.58, 347,939.64 and 137,413.16

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Solution

The fourth proportional to 252,133.58, 347,939.64 and 137,413.16 is: 189,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,133.58 : 347,939.64 = 137,413.16 : x
  2. Step 2: Convert to fraction form
    252,133.58/347,939.64 = 137,413.16/x
  3. Step 3: Cross multiply
    252,133.58x = 347,939.64 × 137,413.16
  4. Step 4: Simplify right side
    252,133.58x = 47,811,485,421.66
  5. Step 5: Solve for x
    x = 47,811,485,421.66/252,133.58
  6. Step 6: Final answer
    x = 189,627.60

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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.