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Finding the Fourth Proportional to 100,468.63, 150,695.65 and 40,501.09

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Solution

The fourth proportional to 100,468.63, 150,695.65 and 40,501.09 is: 60,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468.63 : 150,695.65 = 40,501.09 : x
  2. Step 2: Convert to fraction form
    100,468.63/150,695.65 = 40,501.09/x
  3. Step 3: Cross multiply
    100,468.63x = 150,695.65 × 40,501.09
  4. Step 4: Simplify right side
    100,468.63x = 6,103,338,083.26
  5. Step 5: Solve for x
    x = 6,103,338,083.26/100,468.63
  6. Step 6: Final answer
    x = 60,748.69

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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.