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Finding the Fourth Proportional to 275,087.34, 412,494.93 and 97,567.74

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Solution

The fourth proportional to 275,087.34, 412,494.93 and 97,567.74 is: 146,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,087.34 : 412,494.93 = 97,567.74 : x
  2. Step 2: Convert to fraction form
    275,087.34/412,494.93 = 97,567.74/x
  3. Step 3: Cross multiply
    275,087.34x = 412,494.93 × 97,567.74
  4. Step 4: Simplify right side
    275,087.34x = 40,246,198,081.56
  5. Step 5: Solve for x
    x = 40,246,198,081.56/275,087.34
  6. Step 6: Final answer
    x = 146,303.35

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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.