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Finding the Fourth Proportional to 180,602, 270,881.43 and 47,492.63

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Solution

The fourth proportional to 180,602, 270,881.43 and 47,492.63 is: 71,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,602 : 270,881.43 = 47,492.63 : x
  2. Step 2: Convert to fraction form
    180,602/270,881.43 = 47,492.63/x
  3. Step 3: Cross multiply
    180,602x = 270,881.43 × 47,492.63
  4. Step 4: Simplify right side
    180,602x = 12,864,870,174.45
  5. Step 5: Solve for x
    x = 12,864,870,174.45/180,602
  6. Step 6: Final answer
    x = 71,233.27

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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.