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Finding the Fourth Proportional to 212,034.29, 318,066.87 and 78,914.51

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Solution

The fourth proportional to 212,034.29, 318,066.87 and 78,914.51 is: 118,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,034.29 : 318,066.87 = 78,914.51 : x
  2. Step 2: Convert to fraction form
    212,034.29/318,066.87 = 78,914.51/x
  3. Step 3: Cross multiply
    212,034.29x = 318,066.87 × 78,914.51
  4. Step 4: Simplify right side
    212,034.29x = 25,100,089,602.95
  5. Step 5: Solve for x
    x = 25,100,089,602.95/212,034.29
  6. Step 6: Final answer
    x = 118,377.50

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Why These Related Problems?

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