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Finding the Fourth Proportional to 186,988.38, 258,043.94 and 102,105.52

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Solution

The fourth proportional to 186,988.38, 258,043.94 and 102,105.52 is: 140,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,988.38 : 258,043.94 = 102,105.52 : x
  2. Step 2: Convert to fraction form
    186,988.38/258,043.94 = 102,105.52/x
  3. Step 3: Cross multiply
    186,988.38x = 258,043.94 × 102,105.52
  4. Step 4: Simplify right side
    186,988.38x = 26,347,710,676.55
  5. Step 5: Solve for x
    x = 26,347,710,676.55/186,988.38
  6. Step 6: Final answer
    x = 140,905.60

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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.