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Finding the Fourth Proportional to 106,586.98, 147,089.31 and 58,840.31

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Solution

The fourth proportional to 106,586.98, 147,089.31 and 58,840.31 is: 81,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,586.98 : 147,089.31 = 58,840.31 : x
  2. Step 2: Convert to fraction form
    106,586.98/147,089.31 = 58,840.31/x
  3. Step 3: Cross multiply
    106,586.98x = 147,089.31 × 58,840.31
  4. Step 4: Simplify right side
    106,586.98x = 8,654,780,598.09
  5. Step 5: Solve for x
    x = 8,654,780,598.09/106,586.98
  6. Step 6: Final answer
    x = 81,199.23

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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.