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Finding the Fourth Proportional to 177,822.66, 245,411.63 and 106,201.14

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Solution

The fourth proportional to 177,822.66, 245,411.63 and 106,201.14 is: 146,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,822.66 : 245,411.63 = 106,201.14 : x
  2. Step 2: Convert to fraction form
    177,822.66/245,411.63 = 106,201.14/x
  3. Step 3: Cross multiply
    177,822.66x = 245,411.63 × 106,201.14
  4. Step 4: Simplify right side
    177,822.66x = 26,062,994,344.25
  5. Step 5: Solve for x
    x = 26,062,994,344.25/177,822.66
  6. Step 6: Final answer
    x = 146,567.34

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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.