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Finding the Fourth Proportional to 186,746, 257,665.16 and 106,167.20

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Solution

The fourth proportional to 186,746, 257,665.16 and 106,167.20 is: 146,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,746 : 257,665.16 = 106,167.20 : x
  2. Step 2: Convert to fraction form
    186,746/257,665.16 = 106,167.20/x
  3. Step 3: Cross multiply
    186,746x = 257,665.16 × 106,167.20
  4. Step 4: Simplify right side
    186,746x = 27,355,588,574.75
  5. Step 5: Solve for x
    x = 27,355,588,574.75/186,746
  6. Step 6: Final answer
    x = 146,485.54

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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.