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Finding the Fourth Proportional to 180,611.78, 270,971.13 and 62,295.08

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Solution

The fourth proportional to 180,611.78, 270,971.13 and 62,295.08 is: 93,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,611.78 : 270,971.13 = 62,295.08 : x
  2. Step 2: Convert to fraction form
    180,611.78/270,971.13 = 62,295.08/x
  3. Step 3: Cross multiply
    180,611.78x = 270,971.13 × 62,295.08
  4. Step 4: Simplify right side
    180,611.78x = 16,880,168,221.04
  5. Step 5: Solve for x
    x = 16,880,168,221.04/180,611.78
  6. Step 6: Final answer
    x = 93,461.06

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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.