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Finding the Fourth Proportional to 277,742.66, 383,284.51 and 150,418.76

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Solution

The fourth proportional to 277,742.66, 383,284.51 and 150,418.76 is: 207,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,742.66 : 383,284.51 = 150,418.76 : x
  2. Step 2: Convert to fraction form
    277,742.66/383,284.51 = 150,418.76/x
  3. Step 3: Cross multiply
    277,742.66x = 383,284.51 × 150,418.76
  4. Step 4: Simplify right side
    277,742.66x = 57,653,178,428.94
  5. Step 5: Solve for x
    x = 57,653,178,428.94/277,742.66
  6. Step 6: Final answer
    x = 207,577.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.