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Finding the Fourth Proportional to 143,274.51, 214,837.88 and 64,321.02

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Solution

The fourth proportional to 143,274.51, 214,837.88 and 64,321.02 is: 96,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,274.51 : 214,837.88 = 64,321.02 : x
  2. Step 2: Convert to fraction form
    143,274.51/214,837.88 = 64,321.02/x
  3. Step 3: Cross multiply
    143,274.51x = 214,837.88 × 64,321.02
  4. Step 4: Simplify right side
    143,274.51x = 13,818,591,254.63
  5. Step 5: Solve for x
    x = 13,818,591,254.63/143,274.51
  6. Step 6: Final answer
    x = 96,448.36

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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.