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Finding the Fourth Proportional to 166,035, 229,128.30 and 98,967

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Solution

The fourth proportional to 166,035, 229,128.30 and 98,967 is: 136,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,035 : 229,128.30 = 98,967 : x
  2. Step 2: Convert to fraction form
    166,035/229,128.30 = 98,967/x
  3. Step 3: Cross multiply
    166,035x = 229,128.30 × 98,967
  4. Step 4: Simplify right side
    166,035x = 22,676,140,466.10
  5. Step 5: Solve for x
    x = 22,676,140,466.10/166,035
  6. Step 6: Final answer
    x = 136,574.46

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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.