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Finding the Fourth Proportional to 210,731.85, 290,815.01 and 120,085.87

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Solution

The fourth proportional to 210,731.85, 290,815.01 and 120,085.87 is: 165,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,731.85 : 290,815.01 = 120,085.87 : x
  2. Step 2: Convert to fraction form
    210,731.85/290,815.01 = 120,085.87/x
  3. Step 3: Cross multiply
    210,731.85x = 290,815.01 × 120,085.87
  4. Step 4: Simplify right side
    210,731.85x = 34,922,773,484.91
  5. Step 5: Solve for x
    x = 34,922,773,484.91/210,731.85
  6. Step 6: Final answer
    x = 165,721.38

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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.