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Finding the Fourth Proportional to 114,507.96, 157,854.87 and 80,412.63

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Solution

The fourth proportional to 114,507.96, 157,854.87 and 80,412.63 is: 110,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,507.96 : 157,854.87 = 80,412.63 : x
  2. Step 2: Convert to fraction form
    114,507.96/157,854.87 = 80,412.63/x
  3. Step 3: Cross multiply
    114,507.96x = 157,854.87 × 80,412.63
  4. Step 4: Simplify right side
    114,507.96x = 12,693,525,255.01
  5. Step 5: Solve for x
    x = 12,693,525,255.01/114,507.96
  6. Step 6: Final answer
    x = 110,852.78

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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.