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Finding the Fourth Proportional to 313,935.10, 470,892.10 and 136,442.14

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Solution

The fourth proportional to 313,935.10, 470,892.10 and 136,442.14 is: 204,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,935.10 : 470,892.10 = 136,442.14 : x
  2. Step 2: Convert to fraction form
    313,935.10/470,892.10 = 136,442.14/x
  3. Step 3: Cross multiply
    313,935.10x = 470,892.10 × 136,442.14
  4. Step 4: Simplify right side
    313,935.10x = 64,249,525,833.09
  5. Step 5: Solve for x
    x = 64,249,525,833.09/313,935.10
  6. Step 6: Final answer
    x = 204,658.62

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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.