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Finding the Fourth Proportional to 283,207.63, 424,812.56 and 114,731.14

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Solution

The fourth proportional to 283,207.63, 424,812.56 and 114,731.14 is: 172,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,207.63 : 424,812.56 = 114,731.14 : x
  2. Step 2: Convert to fraction form
    283,207.63/424,812.56 = 114,731.14/x
  3. Step 3: Cross multiply
    283,207.63x = 424,812.56 × 114,731.14
  4. Step 4: Simplify right side
    283,207.63x = 48,739,229,295.12
  5. Step 5: Solve for x
    x = 48,739,229,295.12/283,207.63
  6. Step 6: Final answer
    x = 172,097.16

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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.