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Finding the Fourth Proportional to 212,432.68, 293,163.70 and 115,642.98

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Solution

The fourth proportional to 212,432.68, 293,163.70 and 115,642.98 is: 159,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,432.68 : 293,163.70 = 115,642.98 : x
  2. Step 2: Convert to fraction form
    212,432.68/293,163.70 = 115,642.98/x
  3. Step 3: Cross multiply
    212,432.68x = 293,163.70 × 115,642.98
  4. Step 4: Simplify right side
    212,432.68x = 33,902,323,895.83
  5. Step 5: Solve for x
    x = 33,902,323,895.83/212,432.68
  6. Step 6: Final answer
    x = 159,590.91

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