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Finding the Fourth Proportional to 188,402.75, 259,931.49 and 116,756.63

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Solution

The fourth proportional to 188,402.75, 259,931.49 and 116,756.63 is: 161,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,402.75 : 259,931.49 = 116,756.63 : x
  2. Step 2: Convert to fraction form
    188,402.75/259,931.49 = 116,756.63/x
  3. Step 3: Cross multiply
    188,402.75x = 259,931.49 × 116,756.63
  4. Step 4: Simplify right side
    188,402.75x = 30,348,724,803.28
  5. Step 5: Solve for x
    x = 30,348,724,803.28/188,402.75
  6. Step 6: Final answer
    x = 161,084.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.