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Finding the Fourth Proportional to 282,857.94, 424,471.50 and 105,506.82

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Solution

The fourth proportional to 282,857.94, 424,471.50 and 105,506.82 is: 158,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,857.94 : 424,471.50 = 105,506.82 : x
  2. Step 2: Convert to fraction form
    282,857.94/424,471.50 = 105,506.82/x
  3. Step 3: Cross multiply
    282,857.94x = 424,471.50 × 105,506.82
  4. Step 4: Simplify right side
    282,857.94x = 44,784,638,145.63
  5. Step 5: Solve for x
    x = 44,784,638,145.63/282,857.94
  6. Step 6: Final answer
    x = 158,329.08

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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.