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Finding the Fourth Proportional to 118,783.78, 178,201.14 and 34,545.40

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Solution

The fourth proportional to 118,783.78, 178,201.14 and 34,545.40 is: 51,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,783.78 : 178,201.14 = 34,545.40 : x
  2. Step 2: Convert to fraction form
    118,783.78/178,201.14 = 34,545.40/x
  3. Step 3: Cross multiply
    118,783.78x = 178,201.14 × 34,545.40
  4. Step 4: Simplify right side
    118,783.78x = 6,156,029,661.76
  5. Step 5: Solve for x
    x = 6,156,029,661.76/118,783.78
  6. Step 6: Final answer
    x = 51,825.51

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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.