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Finding the Fourth Proportional to 128,823.64, 193,196.58 and 76,219

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Solution

The fourth proportional to 128,823.64, 193,196.58 and 76,219 is: 114,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,823.64 : 193,196.58 = 76,219 : x
  2. Step 2: Convert to fraction form
    128,823.64/193,196.58 = 76,219/x
  3. Step 3: Cross multiply
    128,823.64x = 193,196.58 × 76,219
  4. Step 4: Simplify right side
    128,823.64x = 14,725,250,131.02
  5. Step 5: Solve for x
    x = 14,725,250,131.02/128,823.64
  6. Step 6: Final answer
    x = 114,305.50

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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.