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Finding the Fourth Proportional to 212,814.69, 319,316.07 and 111,588.57

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Solution

The fourth proportional to 212,814.69, 319,316.07 and 111,588.57 is: 167,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814.69 : 319,316.07 = 111,588.57 : x
  2. Step 2: Convert to fraction form
    212,814.69/319,316.07 = 111,588.57/x
  3. Step 3: Cross multiply
    212,814.69x = 319,316.07 × 111,588.57
  4. Step 4: Simplify right side
    212,814.69x = 35,632,024,047.78
  5. Step 5: Solve for x
    x = 35,632,024,047.78/212,814.69
  6. Step 6: Final answer
    x = 167,432.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.