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Finding the Fourth Proportional to 164,492.74, 227,010.47 and 92,846.62

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Solution

The fourth proportional to 164,492.74, 227,010.47 and 92,846.62 is: 128,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,492.74 : 227,010.47 = 92,846.62 : x
  2. Step 2: Convert to fraction form
    164,492.74/227,010.47 = 92,846.62/x
  3. Step 3: Cross multiply
    164,492.74x = 227,010.47 × 92,846.62
  4. Step 4: Simplify right side
    164,492.74x = 21,077,154,844.11
  5. Step 5: Solve for x
    x = 21,077,154,844.11/164,492.74
  6. Step 6: Final answer
    x = 128,134.26

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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.