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Finding the Fourth Proportional to 291,892.92, 402,803.10 and 164,566.68

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Solution

The fourth proportional to 291,892.92, 402,803.10 and 164,566.68 is: 227,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,892.92 : 402,803.10 = 164,566.68 : x
  2. Step 2: Convert to fraction form
    291,892.92/402,803.10 = 164,566.68/x
  3. Step 3: Cross multiply
    291,892.92x = 402,803.10 × 164,566.68
  4. Step 4: Simplify right side
    291,892.92x = 66,287,968,860.71
  5. Step 5: Solve for x
    x = 66,287,968,860.71/291,892.92
  6. Step 6: Final answer
    x = 227,096.87

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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.