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Finding the Fourth Proportional to 233,052.35, 321,636.92 and 142,461.35

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Solution

The fourth proportional to 233,052.35, 321,636.92 and 142,461.35 is: 196,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,052.35 : 321,636.92 = 142,461.35 : x
  2. Step 2: Convert to fraction form
    233,052.35/321,636.92 = 142,461.35/x
  3. Step 3: Cross multiply
    233,052.35x = 321,636.92 × 142,461.35
  4. Step 4: Simplify right side
    233,052.35x = 45,820,827,512.55
  5. Step 5: Solve for x
    x = 45,820,827,512.55/233,052.35
  6. Step 6: Final answer
    x = 196,611.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.