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Finding the Fourth Proportional to 135,710.23, 187,302.57 and 75,300.34

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Solution

The fourth proportional to 135,710.23, 187,302.57 and 75,300.34 is: 103,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,710.23 : 187,302.57 = 75,300.34 : x
  2. Step 2: Convert to fraction form
    135,710.23/187,302.57 = 75,300.34/x
  3. Step 3: Cross multiply
    135,710.23x = 187,302.57 × 75,300.34
  4. Step 4: Simplify right side
    135,710.23x = 14,103,945,890.86
  5. Step 5: Solve for x
    x = 14,103,945,890.86/135,710.23
  6. Step 6: Final answer
    x = 103,926.92

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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.