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Finding the Fourth Proportional to 106,294.78, 146,686.78 and 58,548.12

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Solution

The fourth proportional to 106,294.78, 146,686.78 and 58,548.12 is: 80,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.78 : 146,686.78 = 58,548.12 : x
  2. Step 2: Convert to fraction form
    106,294.78/146,686.78 = 58,548.12/x
  3. Step 3: Cross multiply
    106,294.78x = 146,686.78 × 58,548.12
  4. Step 4: Simplify right side
    106,294.78x = 8,588,234,905.11
  5. Step 5: Solve for x
    x = 8,588,234,905.11/106,294.78
  6. Step 6: Final answer
    x = 80,796.40

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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.