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Finding the Fourth Proportional to 166,567, 229,973.34 and 98,605.84

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Solution

The fourth proportional to 166,567, 229,973.34 and 98,605.84 is: 136,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,567 : 229,973.34 = 98,605.84 : x
  2. Step 2: Convert to fraction form
    166,567/229,973.34 = 98,605.84/x
  3. Step 3: Cross multiply
    166,567x = 229,973.34 × 98,605.84
  4. Step 4: Simplify right side
    166,567x = 22,676,714,368.31
  5. Step 5: Solve for x
    x = 22,676,714,368.31/166,567
  6. Step 6: Final answer
    x = 136,141.70

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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.