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Finding the Fourth Proportional to 186,686.60, 257,627.94 and 106,114.64

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Solution

The fourth proportional to 186,686.60, 257,627.94 and 106,114.64 is: 146,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,686.60 : 257,627.94 = 106,114.64 : x
  2. Step 2: Convert to fraction form
    186,686.60/257,627.94 = 106,114.64/x
  3. Step 3: Cross multiply
    186,686.60x = 257,627.94 × 106,114.64
  4. Step 4: Simplify right side
    186,686.60x = 27,338,096,107.04
  5. Step 5: Solve for x
    x = 27,338,096,107.04/186,686.60
  6. Step 6: Final answer
    x = 146,438.45

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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.