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Finding the Fourth Proportional to 281,832.90, 388,929.40 and 154,509.38

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Solution

The fourth proportional to 281,832.90, 388,929.40 and 154,509.38 is: 213,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,832.90 : 388,929.40 = 154,509.38 : x
  2. Step 2: Convert to fraction form
    281,832.90/388,929.40 = 154,509.38/x
  3. Step 3: Cross multiply
    281,832.90x = 388,929.40 × 154,509.38
  4. Step 4: Simplify right side
    281,832.90x = 60,093,240,457.77
  5. Step 5: Solve for x
    x = 60,093,240,457.77/281,832.90
  6. Step 6: Final answer
    x = 213,222.94

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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.