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Finding the Fourth Proportional to 281,285.94, 388,178.24 and 153,958.80

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Solution

The fourth proportional to 281,285.94, 388,178.24 and 153,958.80 is: 212,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,285.94 : 388,178.24 = 153,958.80 : x
  2. Step 2: Convert to fraction form
    281,285.94/388,178.24 = 153,958.80/x
  3. Step 3: Cross multiply
    281,285.94x = 388,178.24 × 153,958.80
  4. Step 4: Simplify right side
    281,285.94x = 59,763,456,016.51
  5. Step 5: Solve for x
    x = 59,763,456,016.51/281,285.94
  6. Step 6: Final answer
    x = 212,465.14

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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.