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Finding the Fourth Proportional to 135,813.81, 187,420.38 and 75,385.17

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Solution

The fourth proportional to 135,813.81, 187,420.38 and 75,385.17 is: 104,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,813.81 : 187,420.38 = 75,385.17 : x
  2. Step 2: Convert to fraction form
    135,813.81/187,420.38 = 75,385.17/x
  3. Step 3: Cross multiply
    135,813.81x = 187,420.38 × 75,385.17
  4. Step 4: Simplify right side
    135,813.81x = 14,128,717,207.76
  5. Step 5: Solve for x
    x = 14,128,717,207.76/135,813.81
  6. Step 6: Final answer
    x = 104,030.05

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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.