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Finding the Fourth Proportional to 315,583.76, 473,273.40 and 105,165.20

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Solution

The fourth proportional to 315,583.76, 473,273.40 and 105,165.20 is: 157,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,583.76 : 473,273.40 = 105,165.20 : x
  2. Step 2: Convert to fraction form
    315,583.76/473,273.40 = 105,165.20/x
  3. Step 3: Cross multiply
    315,583.76x = 473,273.40 × 105,165.20
  4. Step 4: Simplify right side
    315,583.76x = 49,771,891,765.68
  5. Step 5: Solve for x
    x = 49,771,891,765.68/315,583.76
  6. Step 6: Final answer
    x = 157,713.73

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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.