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Finding the Fourth Proportional to 186,823.80, 280,235.70 and 154,018.80

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Solution

The fourth proportional to 186,823.80, 280,235.70 and 154,018.80 is: 231,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,823.80 : 280,235.70 = 154,018.80 : x
  2. Step 2: Convert to fraction form
    186,823.80/280,235.70 = 154,018.80/x
  3. Step 3: Cross multiply
    186,823.80x = 280,235.70 × 154,018.80
  4. Step 4: Simplify right side
    186,823.80x = 43,161,566,231.16
  5. Step 5: Solve for x
    x = 43,161,566,231.16/186,823.80
  6. Step 6: Final answer
    x = 231,028.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.