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Finding the Fourth Proportional to 100,782.34, 151,168.08 and 30,656.20

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Solution

The fourth proportional to 100,782.34, 151,168.08 and 30,656.20 is: 45,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782.34 : 151,168.08 = 30,656.20 : x
  2. Step 2: Convert to fraction form
    100,782.34/151,168.08 = 30,656.20/x
  3. Step 3: Cross multiply
    100,782.34x = 151,168.08 × 30,656.20
  4. Step 4: Simplify right side
    100,782.34x = 4,634,238,894.10
  5. Step 5: Solve for x
    x = 4,634,238,894.10/100,782.34
  6. Step 6: Final answer
    x = 45,982.65

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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.