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Finding the Fourth Proportional to 186,896, 280,460.64 and 76,088

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Solution

The fourth proportional to 186,896, 280,460.64 and 76,088 is: 114,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,896 : 280,460.64 = 76,088 : x
  2. Step 2: Convert to fraction form
    186,896/280,460.64 = 76,088/x
  3. Step 3: Cross multiply
    186,896x = 280,460.64 × 76,088
  4. Step 4: Simplify right side
    186,896x = 21,339,689,176.32
  5. Step 5: Solve for x
    x = 21,339,689,176.32/186,896
  6. Step 6: Final answer
    x = 114,179.49

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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.