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Finding the Fourth Proportional to 118,525.76, 163,503.92 and 86,224

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Solution

The fourth proportional to 118,525.76, 163,503.92 and 86,224 is: 118,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,525.76 : 163,503.92 = 86,224 : x
  2. Step 2: Convert to fraction form
    118,525.76/163,503.92 = 86,224/x
  3. Step 3: Cross multiply
    118,525.76x = 163,503.92 × 86,224
  4. Step 4: Simplify right side
    118,525.76x = 14,097,961,998.08
  5. Step 5: Solve for x
    x = 14,097,961,998.08/118,525.76
  6. Step 6: Final answer
    x = 118,944.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.