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Finding the Fourth Proportional to 106,419.66, 146,860.13 and 58,674.72

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Solution

The fourth proportional to 106,419.66, 146,860.13 and 58,674.72 is: 80,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.66 : 146,860.13 = 58,674.72 : x
  2. Step 2: Convert to fraction form
    106,419.66/146,860.13 = 58,674.72/x
  3. Step 3: Cross multiply
    106,419.66x = 146,860.13 × 58,674.72
  4. Step 4: Simplify right side
    106,419.66x = 8,616,977,006.91
  5. Step 5: Solve for x
    x = 8,616,977,006.91/106,419.66
  6. Step 6: Final answer
    x = 80,971.66

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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.