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Finding the Fourth Proportional to 106,211.79, 146,570.72 and 58,463.91

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Solution

The fourth proportional to 106,211.79, 146,570.72 and 58,463.91 is: 80,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,211.79 : 146,570.72 = 58,463.91 : x
  2. Step 2: Convert to fraction form
    106,211.79/146,570.72 = 58,463.91/x
  3. Step 3: Cross multiply
    106,211.79x = 146,570.72 × 58,463.91
  4. Step 4: Simplify right side
    106,211.79x = 8,569,097,090.40
  5. Step 5: Solve for x
    x = 8,569,097,090.40/106,211.79
  6. Step 6: Final answer
    x = 80,679.34

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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.