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Finding the Fourth Proportional to 116,671.11, 160,964.03 and 76,407.84

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Solution

The fourth proportional to 116,671.11, 160,964.03 and 76,407.84 is: 105,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,671.11 : 160,964.03 = 76,407.84 : x
  2. Step 2: Convert to fraction form
    116,671.11/160,964.03 = 76,407.84/x
  3. Step 3: Cross multiply
    116,671.11x = 160,964.03 × 76,407.84
  4. Step 4: Simplify right side
    116,671.11x = 12,298,913,467.96
  5. Step 5: Solve for x
    x = 12,298,913,467.96/116,671.11
  6. Step 6: Final answer
    x = 105,415.24

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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.