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Finding the Fourth Proportional to 142,873.17, 214,314.15 and 43,034.09

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Solution

The fourth proportional to 142,873.17, 214,314.15 and 43,034.09 is: 64,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,873.17 : 214,314.15 = 43,034.09 : x
  2. Step 2: Convert to fraction form
    142,873.17/214,314.15 = 43,034.09/x
  3. Step 3: Cross multiply
    142,873.17x = 214,314.15 × 43,034.09
  4. Step 4: Simplify right side
    142,873.17x = 9,222,813,509.18
  5. Step 5: Solve for x
    x = 9,222,813,509.18/142,873.17
  6. Step 6: Final answer
    x = 64,552.45

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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.