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Finding the Fourth Proportional to 282,084.66, 423,166.50 and 82,419.66

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Solution

The fourth proportional to 282,084.66, 423,166.50 and 82,419.66 is: 123,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,084.66 : 423,166.50 = 82,419.66 : x
  2. Step 2: Convert to fraction form
    282,084.66/423,166.50 = 82,419.66/x
  3. Step 3: Cross multiply
    282,084.66x = 423,166.50 × 82,419.66
  4. Step 4: Simplify right side
    282,084.66x = 34,877,239,053.39
  5. Step 5: Solve for x
    x = 34,877,239,053.39/282,084.66
  6. Step 6: Final answer
    x = 123,641.03

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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.