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Finding the Fourth Proportional to 358,138.73, 537,212.32 and 142,050.16

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Solution

The fourth proportional to 358,138.73, 537,212.32 and 142,050.16 is: 213,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,138.73 : 537,212.32 = 142,050.16 : x
  2. Step 2: Convert to fraction form
    358,138.73/537,212.32 = 142,050.16/x
  3. Step 3: Cross multiply
    358,138.73x = 537,212.32 × 142,050.16
  4. Step 4: Simplify right side
    358,138.73x = 76,311,093,304.54
  5. Step 5: Solve for x
    x = 76,311,093,304.54/358,138.73
  6. Step 6: Final answer
    x = 213,076.91

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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.