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Finding the Fourth Proportional to 333,101.44, 499,632.72 and 83,764

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Solution

The fourth proportional to 333,101.44, 499,632.72 and 83,764 is: 125,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,101.44 : 499,632.72 = 83,764 : x
  2. Step 2: Convert to fraction form
    333,101.44/499,632.72 = 83,764/x
  3. Step 3: Cross multiply
    333,101.44x = 499,632.72 × 83,764
  4. Step 4: Simplify right side
    333,101.44x = 41,851,235,158.08
  5. Step 5: Solve for x
    x = 41,851,235,158.08/333,101.44
  6. Step 6: Final answer
    x = 125,641.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.