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Finding the Fourth Proportional to 142,893.42, 214,337.90 and 34,824.02

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Solution

The fourth proportional to 142,893.42, 214,337.90 and 34,824.02 is: 52,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,893.42 : 214,337.90 = 34,824.02 : x
  2. Step 2: Convert to fraction form
    142,893.42/214,337.90 = 34,824.02/x
  3. Step 3: Cross multiply
    142,893.42x = 214,337.90 × 34,824.02
  4. Step 4: Simplify right side
    142,893.42x = 7,464,107,316.36
  5. Step 5: Solve for x
    x = 7,464,107,316.36/142,893.42
  6. Step 6: Final answer
    x = 52,235.49

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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.