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Finding the Fourth Proportional to 135,830.77, 187,437.59 and 75,401.38

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Solution

The fourth proportional to 135,830.77, 187,437.59 and 75,401.38 is: 104,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830.77 : 187,437.59 = 75,401.38 : x
  2. Step 2: Convert to fraction form
    135,830.77/187,437.59 = 75,401.38/x
  3. Step 3: Cross multiply
    135,830.77x = 187,437.59 × 75,401.38
  4. Step 4: Simplify right side
    135,830.77x = 14,133,053,514.05
  5. Step 5: Solve for x
    x = 14,133,053,514.05/135,830.77
  6. Step 6: Final answer
    x = 104,048.98

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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.