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Finding the Fourth Proportional to 186,584.40, 257,486.85 and 122,097.87

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Solution

The fourth proportional to 186,584.40, 257,486.85 and 122,097.87 is: 168,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,584.40 : 257,486.85 = 122,097.87 : x
  2. Step 2: Convert to fraction form
    186,584.40/257,486.85 = 122,097.87/x
  3. Step 3: Cross multiply
    186,584.40x = 257,486.85 × 122,097.87
  4. Step 4: Simplify right side
    186,584.40x = 31,438,595,938.01
  5. Step 5: Solve for x
    x = 31,438,595,938.01/186,584.40
  6. Step 6: Final answer
    x = 168,495.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.