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Finding the Fourth Proportional to 142,851.78, 214,278.03 and 43,012.26

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Solution

The fourth proportional to 142,851.78, 214,278.03 and 43,012.26 is: 64,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851.78 : 214,278.03 = 43,012.26 : x
  2. Step 2: Convert to fraction form
    142,851.78/214,278.03 = 43,012.26/x
  3. Step 3: Cross multiply
    142,851.78x = 214,278.03 × 43,012.26
  4. Step 4: Simplify right side
    142,851.78x = 9,216,582,338.65
  5. Step 5: Solve for x
    x = 9,216,582,338.65/142,851.78
  6. Step 6: Final answer
    x = 64,518.50

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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.