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Finding the Fourth Proportional to 115,154.30, 172,781.64 and 40,328.12

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Solution

The fourth proportional to 115,154.30, 172,781.64 and 40,328.12 is: 60,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,154.30 : 172,781.64 = 40,328.12 : x
  2. Step 2: Convert to fraction form
    115,154.30/172,781.64 = 40,328.12/x
  3. Step 3: Cross multiply
    115,154.30x = 172,781.64 × 40,328.12
  4. Step 4: Simplify right side
    115,154.30x = 6,967,957,847.81
  5. Step 5: Solve for x
    x = 6,967,957,847.81/115,154.30
  6. Step 6: Final answer
    x = 60,509.75

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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.