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Finding the Fourth Proportional to 238,854.96, 358,344 and 171,465.12

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Solution

The fourth proportional to 238,854.96, 358,344 and 171,465.12 is: 257,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,854.96 : 358,344 = 171,465.12 : x
  2. Step 2: Convert to fraction form
    238,854.96/358,344 = 171,465.12/x
  3. Step 3: Cross multiply
    238,854.96x = 358,344 × 171,465.12
  4. Step 4: Simplify right side
    238,854.96x = 61,443,496,961.28
  5. Step 5: Solve for x
    x = 61,443,496,961.28/238,854.96
  6. Step 6: Final answer
    x = 257,241.87

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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.