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Finding the Fourth Proportional to 146,290.50, 219,435.84 and 35,482.50

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Solution

The fourth proportional to 146,290.50, 219,435.84 and 35,482.50 is: 53,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,290.50 : 219,435.84 = 35,482.50 : x
  2. Step 2: Convert to fraction form
    146,290.50/219,435.84 = 35,482.50/x
  3. Step 3: Cross multiply
    146,290.50x = 219,435.84 × 35,482.50
  4. Step 4: Simplify right side
    146,290.50x = 7,786,132,192.80
  5. Step 5: Solve for x
    x = 7,786,132,192.80/146,290.50
  6. Step 6: Final answer
    x = 53,223.77

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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.