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Finding the Fourth Proportional to 101,609.64, 152,389.85 and 42,413.22

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Solution

The fourth proportional to 101,609.64, 152,389.85 and 42,413.22 is: 63,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,609.64 : 152,389.85 = 42,413.22 : x
  2. Step 2: Convert to fraction form
    101,609.64/152,389.85 = 42,413.22/x
  3. Step 3: Cross multiply
    101,609.64x = 152,389.85 × 42,413.22
  4. Step 4: Simplify right side
    101,609.64x = 6,463,344,021.75
  5. Step 5: Solve for x
    x = 6,463,344,021.75/101,609.64
  6. Step 6: Final answer
    x = 63,609.56

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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.