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Finding the Fourth Proportional to 255,413.83, 352,471.06 and 148,046.14

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Solution

The fourth proportional to 255,413.83, 352,471.06 and 148,046.14 is: 204,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,413.83 : 352,471.06 = 148,046.14 : x
  2. Step 2: Convert to fraction form
    255,413.83/352,471.06 = 148,046.14/x
  3. Step 3: Cross multiply
    255,413.83x = 352,471.06 × 148,046.14
  4. Step 4: Simplify right side
    255,413.83x = 52,181,979,524.59
  5. Step 5: Solve for x
    x = 52,181,979,524.59/255,413.83
  6. Step 6: Final answer
    x = 204,303.66

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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.