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Finding the Fourth Proportional to 355,814.10, 533,721.15 and 119,132.10

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Solution

The fourth proportional to 355,814.10, 533,721.15 and 119,132.10 is: 178,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,814.10 : 533,721.15 = 119,132.10 : x
  2. Step 2: Convert to fraction form
    355,814.10/533,721.15 = 119,132.10/x
  3. Step 3: Cross multiply
    355,814.10x = 533,721.15 × 119,132.10
  4. Step 4: Simplify right side
    355,814.10x = 63,583,321,413.92
  5. Step 5: Solve for x
    x = 63,583,321,413.92/355,814.10
  6. Step 6: Final answer
    x = 178,698.15

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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.