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Finding the Fourth Proportional to 123,611.46, 185,421.74 and 34,867.32

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Solution

The fourth proportional to 123,611.46, 185,421.74 and 34,867.32 is: 52,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,611.46 : 185,421.74 = 34,867.32 : x
  2. Step 2: Convert to fraction form
    123,611.46/185,421.74 = 34,867.32/x
  3. Step 3: Cross multiply
    123,611.46x = 185,421.74 × 34,867.32
  4. Step 4: Simplify right side
    123,611.46x = 6,465,159,143.54
  5. Step 5: Solve for x
    x = 6,465,159,143.54/123,611.46
  6. Step 6: Final answer
    x = 52,302.26

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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.