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Finding the Fourth Proportional to 123,521.96, 185,284.98 and 34,777.60

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Solution

The fourth proportional to 123,521.96, 185,284.98 and 34,777.60 is: 52,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,521.96 : 185,284.98 = 34,777.60 : x
  2. Step 2: Convert to fraction form
    123,521.96/185,284.98 = 34,777.60/x
  3. Step 3: Cross multiply
    123,521.96x = 185,284.98 × 34,777.60
  4. Step 4: Simplify right side
    123,521.96x = 6,443,766,457.24
  5. Step 5: Solve for x
    x = 6,443,766,457.24/123,521.96
  6. Step 6: Final answer
    x = 52,166.97

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1.5x scale

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.