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Finding the Fourth Proportional to 225,016.58, 310,275.46 and 144,413.48

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Solution

The fourth proportional to 225,016.58, 310,275.46 and 144,413.48 is: 199,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,016.58 : 310,275.46 = 144,413.48 : x
  2. Step 2: Convert to fraction form
    225,016.58/310,275.46 = 144,413.48/x
  3. Step 3: Cross multiply
    225,016.58x = 310,275.46 × 144,413.48
  4. Step 4: Simplify right side
    225,016.58x = 44,807,959,893.41
  5. Step 5: Solve for x
    x = 44,807,959,893.41/225,016.58
  6. Step 6: Final answer
    x = 199,131.81

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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.