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Finding the Fourth Proportional to 230,413.75, 317,970.98 and 124,429.75

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Solution

The fourth proportional to 230,413.75, 317,970.98 and 124,429.75 is: 171,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,413.75 : 317,970.98 = 124,429.75 : x
  2. Step 2: Convert to fraction form
    230,413.75/317,970.98 = 124,429.75/x
  3. Step 3: Cross multiply
    230,413.75x = 317,970.98 × 124,429.75
  4. Step 4: Simplify right side
    230,413.75x = 39,565,049,548.66
  5. Step 5: Solve for x
    x = 39,565,049,548.66/230,413.75
  6. Step 6: Final answer
    x = 171,713.06

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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.