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Finding the Fourth Proportional to 342,781.12, 514,051.26 and 102,823.48

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Solution

The fourth proportional to 342,781.12, 514,051.26 and 102,823.48 is: 154,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,781.12 : 514,051.26 = 102,823.48 : x
  2. Step 2: Convert to fraction form
    342,781.12/514,051.26 = 102,823.48/x
  3. Step 3: Cross multiply
    342,781.12x = 514,051.26 × 102,823.48
  4. Step 4: Simplify right side
    342,781.12x = 52,856,539,451.58
  5. Step 5: Solve for x
    x = 52,856,539,451.58/342,781.12
  6. Step 6: Final answer
    x = 154,199.10

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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.