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Finding the Fourth Proportional to 282,849, 424,475.82 and 102,934.14

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Solution

The fourth proportional to 282,849, 424,475.82 and 102,934.14 is: 154,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,849 : 424,475.82 = 102,934.14 : x
  2. Step 2: Convert to fraction form
    282,849/424,475.82 = 102,934.14/x
  3. Step 3: Cross multiply
    282,849x = 424,475.82 × 102,934.14
  4. Step 4: Simplify right side
    282,849x = 43,693,053,482.49
  5. Step 5: Solve for x
    x = 43,693,053,482.49/282,849
  6. Step 6: Final answer
    x = 154,474.84

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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.