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Finding the Fourth Proportional to 142,973.64, 214,459.02 and 36,357.84

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Solution

The fourth proportional to 142,973.64, 214,459.02 and 36,357.84 is: 54,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,973.64 : 214,459.02 = 36,357.84 : x
  2. Step 2: Convert to fraction form
    142,973.64/214,459.02 = 36,357.84/x
  3. Step 3: Cross multiply
    142,973.64x = 214,459.02 × 36,357.84
  4. Step 4: Simplify right side
    142,973.64x = 7,797,266,735.72
  5. Step 5: Solve for x
    x = 7,797,266,735.72/142,973.64
  6. Step 6: Final answer
    x = 54,536.39

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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.