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Finding the Fourth Proportional to 135,594.63, 187,117.59 and 75,164.75

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Solution

The fourth proportional to 135,594.63, 187,117.59 and 75,164.75 is: 103,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,594.63 : 187,117.59 = 75,164.75 : x
  2. Step 2: Convert to fraction form
    135,594.63/187,117.59 = 75,164.75/x
  3. Step 3: Cross multiply
    135,594.63x = 187,117.59 × 75,164.75
  4. Step 4: Simplify right side
    135,594.63x = 14,064,646,920.92
  5. Step 5: Solve for x
    x = 14,064,646,920.92/135,594.63
  6. Step 6: Final answer
    x = 103,725.69

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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.