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Finding the Fourth Proportional to 251,134.80, 346,328.18 and 164,942.10

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Solution

The fourth proportional to 251,134.80, 346,328.18 and 164,942.10 is: 227,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,134.80 : 346,328.18 = 164,942.10 : x
  2. Step 2: Convert to fraction form
    251,134.80/346,328.18 = 164,942.10/x
  3. Step 3: Cross multiply
    251,134.80x = 346,328.18 × 164,942.10
  4. Step 4: Simplify right side
    251,134.80x = 57,124,097,298.38
  5. Step 5: Solve for x
    x = 57,124,097,298.38/251,134.80
  6. Step 6: Final answer
    x = 227,463.89

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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.