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Finding the Fourth Proportional to 114,403.86, 157,783.73 and 80,524.50

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Solution

The fourth proportional to 114,403.86, 157,783.73 and 80,524.50 is: 111,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,403.86 : 157,783.73 = 80,524.50 : x
  2. Step 2: Convert to fraction form
    114,403.86/157,783.73 = 80,524.50/x
  3. Step 3: Cross multiply
    114,403.86x = 157,783.73 × 80,524.50
  4. Step 4: Simplify right side
    114,403.86x = 12,705,455,563.76
  5. Step 5: Solve for x
    x = 12,705,455,563.76/114,403.86
  6. Step 6: Final answer
    x = 111,057.93

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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.