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Finding the Fourth Proportional to 170,511.96, 235,308.06 and 102,531

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Solution

The fourth proportional to 170,511.96, 235,308.06 and 102,531 is: 141,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,511.96 : 235,308.06 = 102,531 : x
  2. Step 2: Convert to fraction form
    170,511.96/235,308.06 = 102,531/x
  3. Step 3: Cross multiply
    170,511.96x = 235,308.06 × 102,531
  4. Step 4: Simplify right side
    170,511.96x = 24,126,370,699.86
  5. Step 5: Solve for x
    x = 24,126,370,699.86/170,511.96
  6. Step 6: Final answer
    x = 141,493.72

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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.