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Finding the Fourth Proportional to 163,874.41, 245,727.74 and 75,051.77

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Solution

The fourth proportional to 163,874.41, 245,727.74 and 75,051.77 is: 112,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,874.41 : 245,727.74 = 75,051.77 : x
  2. Step 2: Convert to fraction form
    163,874.41/245,727.74 = 75,051.77/x
  3. Step 3: Cross multiply
    163,874.41x = 245,727.74 × 75,051.77
  4. Step 4: Simplify right side
    163,874.41x = 18,442,300,784.09
  5. Step 5: Solve for x
    x = 18,442,300,784.09/163,874.41
  6. Step 6: Final answer
    x = 112,539.24

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Why These Related Problems?

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