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Finding the Fourth Proportional to 315,832.08, 435,846.66 and 186,816.90

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Solution

The fourth proportional to 315,832.08, 435,846.66 and 186,816.90 is: 257,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,832.08 : 435,846.66 = 186,816.90 : x
  2. Step 2: Convert to fraction form
    315,832.08/435,846.66 = 186,816.90/x
  3. Step 3: Cross multiply
    315,832.08x = 435,846.66 × 186,816.90
  4. Step 4: Simplify right side
    315,832.08x = 81,423,521,896.55
  5. Step 5: Solve for x
    x = 81,423,521,896.55/315,832.08
  6. Step 6: Final answer
    x = 257,806.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.