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Finding the Fourth Proportional to 114,508.96, 157,856.25 and 80,413.63

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Solution

The fourth proportional to 114,508.96, 157,856.25 and 80,413.63 is: 110,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,508.96 : 157,856.25 = 80,413.63 : x
  2. Step 2: Convert to fraction form
    114,508.96/157,856.25 = 80,413.63/x
  3. Step 3: Cross multiply
    114,508.96x = 157,856.25 × 80,413.63
  4. Step 4: Simplify right side
    114,508.96x = 12,693,794,080.69
  5. Step 5: Solve for x
    x = 12,693,794,080.69/114,508.96
  6. Step 6: Final answer
    x = 110,854.16

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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.