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Finding the Fourth Proportional to 186,980.94, 258,032.67 and 102,097.40

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Solution

The fourth proportional to 186,980.94, 258,032.67 and 102,097.40 is: 140,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,980.94 : 258,032.67 = 102,097.40 : x
  2. Step 2: Convert to fraction form
    186,980.94/258,032.67 = 102,097.40/x
  3. Step 3: Cross multiply
    186,980.94x = 258,032.67 × 102,097.40
  4. Step 4: Simplify right side
    186,980.94x = 26,344,464,722.06
  5. Step 5: Solve for x
    x = 26,344,464,722.06/186,980.94
  6. Step 6: Final answer
    x = 140,893.85

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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.