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Finding the Fourth Proportional to 146,591.20, 219,886.80 and 35,783.20

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Solution

The fourth proportional to 146,591.20, 219,886.80 and 35,783.20 is: 53,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,591.20 : 219,886.80 = 35,783.20 : x
  2. Step 2: Convert to fraction form
    146,591.20/219,886.80 = 35,783.20/x
  3. Step 3: Cross multiply
    146,591.20x = 219,886.80 × 35,783.20
  4. Step 4: Simplify right side
    146,591.20x = 7,868,253,341.76
  5. Step 5: Solve for x
    x = 7,868,253,341.76/146,591.20
  6. Step 6: Final answer
    x = 53,674.80

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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.