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Finding the Fourth Proportional to 135,031.50, 186,343.47 and 75,415.50

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Solution

The fourth proportional to 135,031.50, 186,343.47 and 75,415.50 is: 104,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,031.50 : 186,343.47 = 75,415.50 : x
  2. Step 2: Convert to fraction form
    135,031.50/186,343.47 = 75,415.50/x
  3. Step 3: Cross multiply
    135,031.50x = 186,343.47 × 75,415.50
  4. Step 4: Simplify right side
    135,031.50x = 14,053,185,961.79
  5. Step 5: Solve for x
    x = 14,053,185,961.79/135,031.50
  6. Step 6: Final answer
    x = 104,073.39

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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.