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Finding the Fourth Proportional to 210,451.86, 290,519.18 and 134,075.70

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Solution

The fourth proportional to 210,451.86, 290,519.18 and 134,075.70 is: 185,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,451.86 : 290,519.18 = 134,075.70 : x
  2. Step 2: Convert to fraction form
    210,451.86/290,519.18 = 134,075.70/x
  3. Step 3: Cross multiply
    210,451.86x = 290,519.18 × 134,075.70
  4. Step 4: Simplify right side
    210,451.86x = 38,951,562,757.12
  5. Step 5: Solve for x
    x = 38,951,562,757.12/210,451.86
  6. Step 6: Final answer
    x = 185,085.38

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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.