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Finding the Fourth Proportional to 284,097.52, 426,035.53 and 106,507.63

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Solution

The fourth proportional to 284,097.52, 426,035.53 and 106,507.63 is: 159,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,097.52 : 426,035.53 = 106,507.63 : x
  2. Step 2: Convert to fraction form
    284,097.52/426,035.53 = 106,507.63/x
  3. Step 3: Cross multiply
    284,097.52x = 426,035.53 × 106,507.63
  4. Step 4: Simplify right side
    284,097.52x = 45,376,031,933.38
  5. Step 5: Solve for x
    x = 45,376,031,933.38/284,097.52
  6. Step 6: Final answer
    x = 159,719.92

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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.