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Finding the Fourth Proportional to 257,078.18, 354,676.65 and 167,498.66

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Solution

The fourth proportional to 257,078.18, 354,676.65 and 167,498.66 is: 231,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,078.18 : 354,676.65 = 167,498.66 : x
  2. Step 2: Convert to fraction form
    257,078.18/354,676.65 = 167,498.66/x
  3. Step 3: Cross multiply
    257,078.18x = 354,676.65 × 167,498.66
  4. Step 4: Simplify right side
    257,078.18x = 59,407,863,608.29
  5. Step 5: Solve for x
    x = 59,407,863,608.29/257,078.18
  6. Step 6: Final answer
    x = 231,088.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.