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Finding the Fourth Proportional to 257,714.34, 355,644.72 and 144,537.09

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Solution

The fourth proportional to 257,714.34, 355,644.72 and 144,537.09 is: 199,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,714.34 : 355,644.72 = 144,537.09 : x
  2. Step 2: Convert to fraction form
    257,714.34/355,644.72 = 144,537.09/x
  3. Step 3: Cross multiply
    257,714.34x = 355,644.72 × 144,537.09
  4. Step 4: Simplify right side
    257,714.34x = 51,403,852,902.66
  5. Step 5: Solve for x
    x = 51,403,852,902.66/257,714.34
  6. Step 6: Final answer
    x = 199,460.58

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1.5x scale

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.