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Finding the Fourth Proportional to 188,520, 260,159.20 and 103,635.20

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Solution

The fourth proportional to 188,520, 260,159.20 and 103,635.20 is: 143,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,520 : 260,159.20 = 103,635.20 : x
  2. Step 2: Convert to fraction form
    188,520/260,159.20 = 103,635.20/x
  3. Step 3: Cross multiply
    188,520x = 260,159.20 × 103,635.20
  4. Step 4: Simplify right side
    188,520x = 26,961,650,723.84
  5. Step 5: Solve for x
    x = 26,961,650,723.84/188,520
  6. Step 6: Final answer
    x = 143,017.46

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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.