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Finding the Fourth Proportional to 125,012.82, 172,513.38 and 71,315.22

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Solution

The fourth proportional to 125,012.82, 172,513.38 and 71,315.22 is: 98,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,012.82 : 172,513.38 = 71,315.22 : x
  2. Step 2: Convert to fraction form
    125,012.82/172,513.38 = 71,315.22/x
  3. Step 3: Cross multiply
    125,012.82x = 172,513.38 × 71,315.22
  4. Step 4: Simplify right side
    125,012.82x = 12,302,829,647.64
  5. Step 5: Solve for x
    x = 12,302,829,647.64/125,012.82
  6. Step 6: Final answer
    x = 98,412.54

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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.