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Finding the Fourth Proportional to 281,436.40, 388,377.57 and 152,373.84

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Solution

The fourth proportional to 281,436.40, 388,377.57 and 152,373.84 is: 210,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,436.40 : 388,377.57 = 152,373.84 : x
  2. Step 2: Convert to fraction form
    281,436.40/388,377.57 = 152,373.84/x
  3. Step 3: Cross multiply
    281,436.40x = 388,377.57 × 152,373.84
  4. Step 4: Simplify right side
    281,436.40x = 59,178,583,674.14
  5. Step 5: Solve for x
    x = 59,178,583,674.14/281,436.40
  6. Step 6: Final answer
    x = 210,273.38

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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.