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Finding the Fourth Proportional to 106,387.50, 146,815.74 and 58,642.56

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Solution

The fourth proportional to 106,387.50, 146,815.74 and 58,642.56 is: 80,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,387.50 : 146,815.74 = 58,642.56 : x
  2. Step 2: Convert to fraction form
    106,387.50/146,815.74 = 58,642.56/x
  3. Step 3: Cross multiply
    106,387.50x = 146,815.74 × 58,642.56
  4. Step 4: Simplify right side
    106,387.50x = 8,609,650,841.89
  5. Step 5: Solve for x
    x = 8,609,650,841.89/106,387.50
  6. Step 6: Final answer
    x = 80,927.28

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1.5x scale

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.