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Finding the Fourth Proportional to 114,100.86, 157,493.10 and 73,813.60

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Solution

The fourth proportional to 114,100.86, 157,493.10 and 73,813.60 is: 101,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,100.86 : 157,493.10 = 73,813.60 : x
  2. Step 2: Convert to fraction form
    114,100.86/157,493.10 = 73,813.60/x
  3. Step 3: Cross multiply
    114,100.86x = 157,493.10 × 73,813.60
  4. Step 4: Simplify right side
    114,100.86x = 11,625,132,686.16
  5. Step 5: Solve for x
    x = 11,625,132,686.16/114,100.86
  6. Step 6: Final answer
    x = 101,884.71

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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.