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Finding the Fourth Proportional to 187,764, 259,114.32 and 102,884.28

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Solution

The fourth proportional to 187,764, 259,114.32 and 102,884.28 is: 141,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,764 : 259,114.32 = 102,884.28 : x
  2. Step 2: Convert to fraction form
    187,764/259,114.32 = 102,884.28/x
  3. Step 3: Cross multiply
    187,764x = 259,114.32 × 102,884.28
  4. Step 4: Simplify right side
    187,764x = 26,658,790,250.89
  5. Step 5: Solve for x
    x = 26,658,790,250.89/187,764
  6. Step 6: Final answer
    x = 141,980.31

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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.