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Finding the Fourth Proportional to 173,741, 260,612.04 and 42,413

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Solution

The fourth proportional to 173,741, 260,612.04 and 42,413 is: 63,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,741 : 260,612.04 = 42,413 : x
  2. Step 2: Convert to fraction form
    173,741/260,612.04 = 42,413/x
  3. Step 3: Cross multiply
    173,741x = 260,612.04 × 42,413
  4. Step 4: Simplify right side
    173,741x = 11,053,338,452.52
  5. Step 5: Solve for x
    x = 11,053,338,452.52/173,741
  6. Step 6: Final answer
    x = 63,619.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.