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Finding the Fourth Proportional to 164,492.24, 227,009.78 and 92,846.12

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Solution

The fourth proportional to 164,492.24, 227,009.78 and 92,846.12 is: 128,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,492.24 : 227,009.78 = 92,846.12 : x
  2. Step 2: Convert to fraction form
    164,492.24/227,009.78 = 92,846.12/x
  3. Step 3: Cross multiply
    164,492.24x = 227,009.78 × 92,846.12
  4. Step 4: Simplify right side
    164,492.24x = 21,076,977,275.05
  5. Step 5: Solve for x
    x = 21,076,977,275.05/164,492.24
  6. Step 6: Final answer
    x = 128,133.57

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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.