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Finding the Fourth Proportional to 257,693.34, 355,511.82 and 172,837.74

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Solution

The fourth proportional to 257,693.34, 355,511.82 and 172,837.74 is: 238,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,693.34 : 355,511.82 = 172,837.74 : x
  2. Step 2: Convert to fraction form
    257,693.34/355,511.82 = 172,837.74/x
  3. Step 3: Cross multiply
    257,693.34x = 355,511.82 × 172,837.74
  4. Step 4: Simplify right side
    257,693.34x = 61,445,859,512.09
  5. Step 5: Solve for x
    x = 61,445,859,512.09/257,693.34
  6. Step 6: Final answer
    x = 238,445.66

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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.