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Finding the Fourth Proportional to 113,443, 170,145.82 and 42,346.98

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Solution

The fourth proportional to 113,443, 170,145.82 and 42,346.98 is: 63,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,443 : 170,145.82 = 42,346.98 : x
  2. Step 2: Convert to fraction form
    113,443/170,145.82 = 42,346.98/x
  3. Step 3: Cross multiply
    113,443x = 170,145.82 × 42,346.98
  4. Step 4: Simplify right side
    113,443x = 7,205,161,636.62
  5. Step 5: Solve for x
    x = 7,205,161,636.62/113,443
  6. Step 6: Final answer
    x = 63,513.50

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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.