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Finding the Fourth Proportional to 107,082.30, 147,771.36 and 59,335.23

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Solution

The fourth proportional to 107,082.30, 147,771.36 and 59,335.23 is: 81,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082.30 : 147,771.36 = 59,335.23 : x
  2. Step 2: Convert to fraction form
    107,082.30/147,771.36 = 59,335.23/x
  3. Step 3: Cross multiply
    107,082.30x = 147,771.36 × 59,335.23
  4. Step 4: Simplify right side
    107,082.30x = 8,768,047,633.01
  5. Step 5: Solve for x
    x = 8,768,047,633.01/107,082.30
  6. Step 6: Final answer
    x = 81,881.39

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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.