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Finding the Fourth Proportional to 106,421.02, 146,858.19 and 58,673.14

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Solution

The fourth proportional to 106,421.02, 146,858.19 and 58,673.14 is: 80,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,421.02 : 146,858.19 = 58,673.14 : x
  2. Step 2: Convert to fraction form
    106,421.02/146,858.19 = 58,673.14/x
  3. Step 3: Cross multiply
    106,421.02x = 146,858.19 × 58,673.14
  4. Step 4: Simplify right side
    106,421.02x = 8,616,631,142.02
  5. Step 5: Solve for x
    x = 8,616,631,142.02/106,421.02
  6. Step 6: Final answer
    x = 80,967.38

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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.