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Finding the Fourth Proportional to 205,392.30, 283,413.32 and 114,737.06

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Solution

The fourth proportional to 205,392.30, 283,413.32 and 114,737.06 is: 158,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392.30 : 283,413.32 = 114,737.06 : x
  2. Step 2: Convert to fraction form
    205,392.30/283,413.32 = 114,737.06/x
  3. Step 3: Cross multiply
    205,392.30x = 283,413.32 × 114,737.06
  4. Step 4: Simplify right side
    205,392.30x = 32,518,011,101.64
  5. Step 5: Solve for x
    x = 32,518,011,101.64/205,392.30
  6. Step 6: Final answer
    x = 158,321.47

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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.