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Finding the Fourth Proportional to 281,735.64, 388,794.40 and 152,677.67

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Solution

The fourth proportional to 281,735.64, 388,794.40 and 152,677.67 is: 210,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,735.64 : 388,794.40 = 152,677.67 : x
  2. Step 2: Convert to fraction form
    281,735.64/388,794.40 = 152,677.67/x
  3. Step 3: Cross multiply
    281,735.64x = 388,794.40 × 152,677.67
  4. Step 4: Simplify right side
    281,735.64x = 59,360,220,775.38
  5. Step 5: Solve for x
    x = 59,360,220,775.38/281,735.64
  6. Step 6: Final answer
    x = 210,694.75

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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.