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Finding the Fourth Proportional to 280,524.20, 387,117.22 and 153,200.32

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Solution

The fourth proportional to 280,524.20, 387,117.22 and 153,200.32 is: 211,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,524.20 : 387,117.22 = 153,200.32 : x
  2. Step 2: Convert to fraction form
    280,524.20/387,117.22 = 153,200.32/x
  3. Step 3: Cross multiply
    280,524.20x = 387,117.22 × 153,200.32
  4. Step 4: Simplify right side
    280,524.20x = 59,306,481,981.51
  5. Step 5: Solve for x
    x = 59,306,481,981.51/280,524.20
  6. Step 6: Final answer
    x = 211,413.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.