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Finding the Fourth Proportional to 186,728.60, 257,684.22 and 106,156.14

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Solution

The fourth proportional to 186,728.60, 257,684.22 and 106,156.14 is: 146,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,728.60 : 257,684.22 = 106,156.14 : x
  2. Step 2: Convert to fraction form
    186,728.60/257,684.22 = 106,156.14/x
  3. Step 3: Cross multiply
    186,728.60x = 257,684.22 × 106,156.14
  4. Step 4: Simplify right side
    186,728.60x = 27,354,762,134.11
  5. Step 5: Solve for x
    x = 27,354,762,134.11/186,728.60
  6. Step 6: Final answer
    x = 146,494.77

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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.