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Finding the Fourth Proportional to 146,536.80, 219,783.60 and 41,366.40

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Solution

The fourth proportional to 146,536.80, 219,783.60 and 41,366.40 is: 62,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,536.80 : 219,783.60 = 41,366.40 : x
  2. Step 2: Convert to fraction form
    146,536.80/219,783.60 = 41,366.40/x
  3. Step 3: Cross multiply
    146,536.80x = 219,783.60 × 41,366.40
  4. Step 4: Simplify right side
    146,536.80x = 9,091,656,311.04
  5. Step 5: Solve for x
    x = 9,091,656,311.04/146,536.80
  6. Step 6: Final answer
    x = 62,043.50

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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.