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Finding the Fourth Proportional to 112,811.60, 169,212.60 and 46,229.84

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Solution

The fourth proportional to 112,811.60, 169,212.60 and 46,229.84 is: 69,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,811.60 : 169,212.60 = 46,229.84 : x
  2. Step 2: Convert to fraction form
    112,811.60/169,212.60 = 46,229.84/x
  3. Step 3: Cross multiply
    112,811.60x = 169,212.60 × 46,229.84
  4. Step 4: Simplify right side
    112,811.60x = 7,822,671,423.98
  5. Step 5: Solve for x
    x = 7,822,671,423.98/112,811.60
  6. Step 6: Final answer
    x = 69,342.79

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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.