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Finding the Fourth Proportional to 100,816.32, 138,893.60 and 72,472.96

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Solution

The fourth proportional to 100,816.32, 138,893.60 and 72,472.96 is: 99,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,816.32 : 138,893.60 = 72,472.96 : x
  2. Step 2: Convert to fraction form
    100,816.32/138,893.60 = 72,472.96/x
  3. Step 3: Cross multiply
    100,816.32x = 138,893.60 × 72,472.96
  4. Step 4: Simplify right side
    100,816.32x = 10,066,030,317.06
  5. Step 5: Solve for x
    x = 10,066,030,317.06/100,816.32
  6. Step 6: Final answer
    x = 99,845.25

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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.