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Finding the Fourth Proportional to 177,905.25, 245,485.01 and 106,270.06

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Solution

The fourth proportional to 177,905.25, 245,485.01 and 106,270.06 is: 146,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,905.25 : 245,485.01 = 106,270.06 : x
  2. Step 2: Convert to fraction form
    177,905.25/245,485.01 = 106,270.06/x
  3. Step 3: Cross multiply
    177,905.25x = 245,485.01 × 106,270.06
  4. Step 4: Simplify right side
    177,905.25x = 26,087,706,210.45
  5. Step 5: Solve for x
    x = 26,087,706,210.45/177,905.25
  6. Step 6: Final answer
    x = 146,638.21

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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.