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Finding the Fourth Proportional to 146,464.40, 219,703.80 and 76,480.40

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Solution

The fourth proportional to 146,464.40, 219,703.80 and 76,480.40 is: 114,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,464.40 : 219,703.80 = 76,480.40 : x
  2. Step 2: Convert to fraction form
    146,464.40/219,703.80 = 76,480.40/x
  3. Step 3: Cross multiply
    146,464.40x = 219,703.80 × 76,480.40
  4. Step 4: Simplify right side
    146,464.40x = 16,803,034,505.52
  5. Step 5: Solve for x
    x = 16,803,034,505.52/146,464.40
  6. Step 6: Final answer
    x = 114,724.36

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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.