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Finding the Fourth Proportional to 189,955.57, 285,031.77 and 96,461.32

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Solution

The fourth proportional to 189,955.57, 285,031.77 and 96,461.32 is: 144,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,955.57 : 285,031.77 = 96,461.32 : x
  2. Step 2: Convert to fraction form
    189,955.57/285,031.77 = 96,461.32/x
  3. Step 3: Cross multiply
    189,955.57x = 285,031.77 × 96,461.32
  4. Step 4: Simplify right side
    189,955.57x = 27,494,540,776.14
  5. Step 5: Solve for x
    x = 27,494,540,776.14/189,955.57
  6. Step 6: Final answer
    x = 144,741.96

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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.