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Finding the Fourth Proportional to 312,114.68, 430,672.07 and 189,543.32

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Solution

The fourth proportional to 312,114.68, 430,672.07 and 189,543.32 is: 261,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,114.68 : 430,672.07 = 189,543.32 : x
  2. Step 2: Convert to fraction form
    312,114.68/430,672.07 = 189,543.32/x
  3. Step 3: Cross multiply
    312,114.68x = 430,672.07 × 189,543.32
  4. Step 4: Simplify right side
    312,114.68x = 81,631,011,825.71
  5. Step 5: Solve for x
    x = 81,631,011,825.71/312,114.68
  6. Step 6: Final answer
    x = 261,541.73

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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.