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Finding the Fourth Proportional to 282,413.27, 423,678.23 and 82,740.17

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Solution

The fourth proportional to 282,413.27, 423,678.23 and 82,740.17 is: 124,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,413.27 : 423,678.23 = 82,740.17 : x
  2. Step 2: Convert to fraction form
    282,413.27/423,678.23 = 82,740.17/x
  3. Step 3: Cross multiply
    282,413.27x = 423,678.23 × 82,740.17
  4. Step 4: Simplify right side
    282,413.27x = 35,055,208,775.50
  5. Step 5: Solve for x
    x = 35,055,208,775.50/282,413.27
  6. Step 6: Final answer
    x = 124,127.34

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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.