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Finding the Fourth Proportional to 212,434.93, 293,163.93 and 115,641.56

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Solution

The fourth proportional to 212,434.93, 293,163.93 and 115,641.56 is: 159,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,434.93 : 293,163.93 = 115,641.56 : x
  2. Step 2: Convert to fraction form
    212,434.93/293,163.93 = 115,641.56/x
  3. Step 3: Cross multiply
    212,434.93x = 293,163.93 × 115,641.56
  4. Step 4: Simplify right side
    212,434.93x = 33,901,934,200.93
  5. Step 5: Solve for x
    x = 33,901,934,200.93/212,434.93
  6. Step 6: Final answer
    x = 159,587.38

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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.