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Finding the Fourth Proportional to 241,714.16, 360,990.53 and 205,792.52

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Solution

The fourth proportional to 241,714.16, 360,990.53 and 205,792.52 is: 307,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,714.16 : 360,990.53 = 205,792.52 : x
  2. Step 2: Convert to fraction form
    241,714.16/360,990.53 = 205,792.52/x
  3. Step 3: Cross multiply
    241,714.16x = 360,990.53 × 205,792.52
  4. Step 4: Simplify right side
    241,714.16x = 74,289,149,835.87
  5. Step 5: Solve for x
    x = 74,289,149,835.87/241,714.16
  6. Step 6: Final answer
    x = 307,342.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.