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Finding the Fourth Proportional to 97,930, 135,154.92 and 58,186

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Solution

The fourth proportional to 97,930, 135,154.92 and 58,186 is: 80,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,930 : 135,154.92 = 58,186 : x
  2. Step 2: Convert to fraction form
    97,930/135,154.92 = 58,186/x
  3. Step 3: Cross multiply
    97,930x = 135,154.92 × 58,186
  4. Step 4: Simplify right side
    97,930x = 7,864,124,175.12
  5. Step 5: Solve for x
    x = 7,864,124,175.12/97,930
  6. Step 6: Final answer
    x = 80,303.52

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Why These Related Problems?

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