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Finding the Fourth Proportional to 282,699.33, 423,882.90 and 114,225

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Solution

The fourth proportional to 282,699.33, 423,882.90 and 114,225 is: 171,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,699.33 : 423,882.90 = 114,225 : x
  2. Step 2: Convert to fraction form
    282,699.33/423,882.90 = 114,225/x
  3. Step 3: Cross multiply
    282,699.33x = 423,882.90 × 114,225
  4. Step 4: Simplify right side
    282,699.33x = 48,418,024,252.50
  5. Step 5: Solve for x
    x = 48,418,024,252.50/282,699.33
  6. Step 6: Final answer
    x = 171,270.39

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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.