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Finding the Fourth Proportional to 125,718, 188,536.80 and 41,462.40

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Solution

The fourth proportional to 125,718, 188,536.80 and 41,462.40 is: 62,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,718 : 188,536.80 = 41,462.40 : x
  2. Step 2: Convert to fraction form
    125,718/188,536.80 = 41,462.40/x
  3. Step 3: Cross multiply
    125,718x = 188,536.80 × 41,462.40
  4. Step 4: Simplify right side
    125,718x = 7,817,188,216.32
  5. Step 5: Solve for x
    x = 7,817,188,216.32/125,718
  6. Step 6: Final answer
    x = 62,180.34

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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.