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Finding the Fourth Proportional to 315,951.22, 473,926.83 and 105,589.16

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Solution

The fourth proportional to 315,951.22, 473,926.83 and 105,589.16 is: 158,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,951.22 : 473,926.83 = 105,589.16 : x
  2. Step 2: Convert to fraction form
    315,951.22/473,926.83 = 105,589.16/x
  3. Step 3: Cross multiply
    315,951.22x = 473,926.83 × 105,589.16
  4. Step 4: Simplify right side
    315,951.22x = 50,041,535,881.16
  5. Step 5: Solve for x
    x = 50,041,535,881.16/315,951.22
  6. Step 6: Final answer
    x = 158,383.74

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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.