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Finding the Fourth Proportional to 137,098.36, 205,669.14 and 58,213

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Solution

The fourth proportional to 137,098.36, 205,669.14 and 58,213 is: 87,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.36 : 205,669.14 = 58,213 : x
  2. Step 2: Convert to fraction form
    137,098.36/205,669.14 = 58,213/x
  3. Step 3: Cross multiply
    137,098.36x = 205,669.14 × 58,213
  4. Step 4: Simplify right side
    137,098.36x = 11,972,617,646.82
  5. Step 5: Solve for x
    x = 11,972,617,646.82/137,098.36
  6. Step 6: Final answer
    x = 87,328.67

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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.