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Finding the Fourth Proportional to 100,538.64, 138,703.56 and 58,089.36

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Solution

The fourth proportional to 100,538.64, 138,703.56 and 58,089.36 is: 80,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,538.64 : 138,703.56 = 58,089.36 : x
  2. Step 2: Convert to fraction form
    100,538.64/138,703.56 = 58,089.36/x
  3. Step 3: Cross multiply
    100,538.64x = 138,703.56 × 58,089.36
  4. Step 4: Simplify right side
    100,538.64x = 8,057,201,030.12
  5. Step 5: Solve for x
    x = 8,057,201,030.12/100,538.64
  6. Step 6: Final answer
    x = 80,140.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.