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Finding the Fourth Proportional to 157,854.33, 217,854 and 86,245.11

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Solution

The fourth proportional to 157,854.33, 217,854 and 86,245.11 is: 119,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854.33 : 217,854 = 86,245.11 : x
  2. Step 2: Convert to fraction form
    157,854.33/217,854 = 86,245.11/x
  3. Step 3: Cross multiply
    157,854.33x = 217,854 × 86,245.11
  4. Step 4: Simplify right side
    157,854.33x = 18,788,842,193.94
  5. Step 5: Solve for x
    x = 18,788,842,193.94/157,854.33
  6. Step 6: Final answer
    x = 119,026.46

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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.