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Finding the Fourth Proportional to 186,989.38, 258,045.32 and 102,106.52

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Solution

The fourth proportional to 186,989.38, 258,045.32 and 102,106.52 is: 140,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,989.38 : 258,045.32 = 102,106.52 : x
  2. Step 2: Convert to fraction form
    186,989.38/258,045.32 = 102,106.52/x
  3. Step 3: Cross multiply
    186,989.38x = 258,045.32 × 102,106.52
  4. Step 4: Simplify right side
    186,989.38x = 26,348,109,627.49
  5. Step 5: Solve for x
    x = 26,348,109,627.49/186,989.38
  6. Step 6: Final answer
    x = 140,906.98

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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.