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Finding the Fourth Proportional to 161,659.44, 223,050.69 and 106,463.06

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Solution

The fourth proportional to 161,659.44, 223,050.69 and 106,463.06 is: 146,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,659.44 : 223,050.69 = 106,463.06 : x
  2. Step 2: Convert to fraction form
    161,659.44/223,050.69 = 106,463.06/x
  3. Step 3: Cross multiply
    161,659.44x = 223,050.69 × 106,463.06
  4. Step 4: Simplify right side
    161,659.44x = 23,746,658,460.20
  5. Step 5: Solve for x
    x = 23,746,658,460.20/161,659.44
  6. Step 6: Final answer
    x = 146,893.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.