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Finding the Fourth Proportional to 186,983.88, 258,037.74 and 102,101.01

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Solution

The fourth proportional to 186,983.88, 258,037.74 and 102,101.01 is: 140,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,983.88 : 258,037.74 = 102,101.01 : x
  2. Step 2: Convert to fraction form
    186,983.88/258,037.74 = 102,101.01/x
  3. Step 3: Cross multiply
    186,983.88x = 258,037.74 × 102,101.01
  4. Step 4: Simplify right side
    186,983.88x = 26,345,913,872.12
  5. Step 5: Solve for x
    x = 26,345,913,872.12/186,983.88
  6. Step 6: Final answer
    x = 140,899.39

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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.