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Finding the Fourth Proportional to 157,413.34, 217,238.12 and 88,524.48

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Solution

The fourth proportional to 157,413.34, 217,238.12 and 88,524.48 is: 122,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,413.34 : 217,238.12 = 88,524.48 : x
  2. Step 2: Convert to fraction form
    157,413.34/217,238.12 = 88,524.48/x
  3. Step 3: Cross multiply
    157,413.34x = 217,238.12 × 88,524.48
  4. Step 4: Simplify right side
    157,413.34x = 19,230,891,609.18
  5. Step 5: Solve for x
    x = 19,230,891,609.18/157,413.34
  6. Step 6: Final answer
    x = 122,168.12

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1.5x scale

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.