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Finding the Fourth Proportional to 109,534.64, 151,157.72 and 59,233.64

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Solution

The fourth proportional to 109,534.64, 151,157.72 and 59,233.64 is: 81,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,534.64 : 151,157.72 = 59,233.64 : x
  2. Step 2: Convert to fraction form
    109,534.64/151,157.72 = 59,233.64/x
  3. Step 3: Cross multiply
    109,534.64x = 151,157.72 × 59,233.64
  4. Step 4: Simplify right side
    109,534.64x = 8,953,620,917.74
  5. Step 5: Solve for x
    x = 8,953,620,917.74/109,534.64
  6. Step 6: Final answer
    x = 81,742.37

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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.