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Finding the Fourth Proportional to 100,089.36, 138,089.64 and 57,646.92

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Solution

The fourth proportional to 100,089.36, 138,089.64 and 57,646.92 is: 79,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,089.36 : 138,089.64 = 57,646.92 : x
  2. Step 2: Convert to fraction form
    100,089.36/138,089.64 = 57,646.92/x
  3. Step 3: Cross multiply
    100,089.36x = 138,089.64 × 57,646.92
  4. Step 4: Simplify right side
    100,089.36x = 7,960,442,429.91
  5. Step 5: Solve for x
    x = 7,960,442,429.91/100,089.36
  6. Step 6: Final answer
    x = 79,533.35

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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.