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Finding the Fourth Proportional to 166,032, 229,124.16 and 98,964

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Solution

The fourth proportional to 166,032, 229,124.16 and 98,964 is: 136,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,032 : 229,124.16 = 98,964 : x
  2. Step 2: Convert to fraction form
    166,032/229,124.16 = 98,964/x
  3. Step 3: Cross multiply
    166,032x = 229,124.16 × 98,964
  4. Step 4: Simplify right side
    166,032x = 22,675,043,370.24
  5. Step 5: Solve for x
    x = 22,675,043,370.24/166,032
  6. Step 6: Final answer
    x = 136,570.32

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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.