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Finding the Fourth Proportional to 170,513.96, 235,310.82 and 102,533

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Solution

The fourth proportional to 170,513.96, 235,310.82 and 102,533 is: 141,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,513.96 : 235,310.82 = 102,533 : x
  2. Step 2: Convert to fraction form
    170,513.96/235,310.82 = 102,533/x
  3. Step 3: Cross multiply
    170,513.96x = 235,310.82 × 102,533
  4. Step 4: Simplify right side
    170,513.96x = 24,127,124,307.06
  5. Step 5: Solve for x
    x = 24,127,124,307.06/170,513.96
  6. Step 6: Final answer
    x = 141,496.48

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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.