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Finding the Fourth Proportional to 122,085.50, 183,960.14 and 100,385

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Solution

The fourth proportional to 122,085.50, 183,960.14 and 100,385 is: 151,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,085.50 : 183,960.14 = 100,385 : x
  2. Step 2: Convert to fraction form
    122,085.50/183,960.14 = 100,385/x
  3. Step 3: Cross multiply
    122,085.50x = 183,960.14 × 100,385
  4. Step 4: Simplify right side
    122,085.50x = 18,466,838,653.90
  5. Step 5: Solve for x
    x = 18,466,838,653.90/122,085.50
  6. Step 6: Final answer
    x = 151,261.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.