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Finding the Fourth Proportional to 180,312.35, 270,484.11 and 47,192.49

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Solution

The fourth proportional to 180,312.35, 270,484.11 and 47,192.49 is: 70,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,312.35 : 270,484.11 = 47,192.49 : x
  2. Step 2: Convert to fraction form
    180,312.35/270,484.11 = 47,192.49/x
  3. Step 3: Cross multiply
    180,312.35x = 270,484.11 × 47,192.49
  4. Step 4: Simplify right side
    180,312.35x = 12,764,818,656.33
  5. Step 5: Solve for x
    x = 12,764,818,656.33/180,312.35
  6. Step 6: Final answer
    x = 70,792.82

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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.