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Finding the Fourth Proportional to 186,894.32, 280,388.76 and 53,771.68

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Solution

The fourth proportional to 186,894.32, 280,388.76 and 53,771.68 is: 80,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,894.32 : 280,388.76 = 53,771.68 : x
  2. Step 2: Convert to fraction form
    186,894.32/280,388.76 = 53,771.68/x
  3. Step 3: Cross multiply
    186,894.32x = 280,388.76 × 53,771.68
  4. Step 4: Simplify right side
    186,894.32x = 15,076,974,678.32
  5. Step 5: Solve for x
    x = 15,076,974,678.32/186,894.32
  6. Step 6: Final answer
    x = 80,671.12

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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.