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Finding the Fourth Proportional to 118,882.45, 178,282.32 and 47,783.98

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Solution

The fourth proportional to 118,882.45, 178,282.32 and 47,783.98 is: 71,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,882.45 : 178,282.32 = 47,783.98 : x
  2. Step 2: Convert to fraction form
    118,882.45/178,282.32 = 47,783.98/x
  3. Step 3: Cross multiply
    118,882.45x = 178,282.32 × 47,783.98
  4. Step 4: Simplify right side
    118,882.45x = 8,519,038,813.23
  5. Step 5: Solve for x
    x = 8,519,038,813.23/118,882.45
  6. Step 6: Final answer
    x = 71,659.35

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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.