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Finding the Fourth Proportional to 106,758.86, 147,226.52 and 68,530.10

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Solution

The fourth proportional to 106,758.86, 147,226.52 and 68,530.10 is: 94,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,758.86 : 147,226.52 = 68,530.10 : x
  2. Step 2: Convert to fraction form
    106,758.86/147,226.52 = 68,530.10/x
  3. Step 3: Cross multiply
    106,758.86x = 147,226.52 × 68,530.10
  4. Step 4: Simplify right side
    106,758.86x = 10,089,448,138.25
  5. Step 5: Solve for x
    x = 10,089,448,138.25/106,758.86
  6. Step 6: Final answer
    x = 94,506.89

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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.