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Finding the Fourth Proportional to 268,413.30, 370,411.56 and 147,562.38

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Solution

The fourth proportional to 268,413.30, 370,411.56 and 147,562.38 is: 203,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,413.30 : 370,411.56 = 147,562.38 : x
  2. Step 2: Convert to fraction form
    268,413.30/370,411.56 = 147,562.38/x
  3. Step 3: Cross multiply
    268,413.30x = 370,411.56 × 147,562.38
  4. Step 4: Simplify right side
    268,413.30x = 54,658,811,373.11
  5. Step 5: Solve for x
    x = 54,658,811,373.11/268,413.30
  6. Step 6: Final answer
    x = 203,636.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.