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Finding the Fourth Proportional to 304,783.65, 457,197.37 and 105,101.15

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Solution

The fourth proportional to 304,783.65, 457,197.37 and 105,101.15 is: 157,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,783.65 : 457,197.37 = 105,101.15 : x
  2. Step 2: Convert to fraction form
    304,783.65/457,197.37 = 105,101.15/x
  3. Step 3: Cross multiply
    304,783.65x = 457,197.37 × 105,101.15
  4. Step 4: Simplify right side
    304,783.65x = 48,051,969,363.98
  5. Step 5: Solve for x
    x = 48,051,969,363.98/304,783.65
  6. Step 6: Final answer
    x = 157,659.28

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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.