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Finding the Fourth Proportional to 186,563.90, 257,465.07 and 106,005.08

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Solution

The fourth proportional to 186,563.90, 257,465.07 and 106,005.08 is: 146,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.90 : 257,465.07 = 106,005.08 : x
  2. Step 2: Convert to fraction form
    186,563.90/257,465.07 = 106,005.08/x
  3. Step 3: Cross multiply
    186,563.90x = 257,465.07 × 106,005.08
  4. Step 4: Simplify right side
    186,563.90x = 27,292,605,986.22
  5. Step 5: Solve for x
    x = 27,292,605,986.22/186,563.90
  6. Step 6: Final answer
    x = 146,290.93

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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.