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Finding the Fourth Proportional to 109,234.88, 163,915.98 and 46,051.12

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Solution

The fourth proportional to 109,234.88, 163,915.98 and 46,051.12 is: 69,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,234.88 : 163,915.98 = 46,051.12 : x
  2. Step 2: Convert to fraction form
    109,234.88/163,915.98 = 46,051.12/x
  3. Step 3: Cross multiply
    109,234.88x = 163,915.98 × 46,051.12
  4. Step 4: Simplify right side
    109,234.88x = 7,548,513,415.06
  5. Step 5: Solve for x
    x = 7,548,513,415.06/109,234.88
  6. Step 6: Final answer
    x = 69,103.51

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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.