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Finding the Fourth Proportional to 122,492.88, 183,652.80 and 47,550.72

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Solution

The fourth proportional to 122,492.88, 183,652.80 and 47,550.72 is: 71,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492.88 : 183,652.80 = 47,550.72 : x
  2. Step 2: Convert to fraction form
    122,492.88/183,652.80 = 47,550.72/x
  3. Step 3: Cross multiply
    122,492.88x = 183,652.80 × 47,550.72
  4. Step 4: Simplify right side
    122,492.88x = 8,732,822,870.02
  5. Step 5: Solve for x
    x = 8,732,822,870.02/122,492.88
  6. Step 6: Final answer
    x = 71,292.49

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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.