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Finding the Fourth Proportional to 355,413.52, 533,213.76 and 127,732.14

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Solution

The fourth proportional to 355,413.52, 533,213.76 and 127,732.14 is: 191,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,413.52 : 533,213.76 = 127,732.14 : x
  2. Step 2: Convert to fraction form
    355,413.52/533,213.76 = 127,732.14/x
  3. Step 3: Cross multiply
    355,413.52x = 533,213.76 × 127,732.14
  4. Step 4: Simplify right side
    355,413.52x = 68,108,534,642.25
  5. Step 5: Solve for x
    x = 68,108,534,642.25/355,413.52
  6. Step 6: Final answer
    x = 191,631.81

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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.