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Finding the Fourth Proportional to 188,534.34, 260,179.14 and 103,652

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Solution

The fourth proportional to 188,534.34, 260,179.14 and 103,652 is: 143,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,534.34 : 260,179.14 = 103,652 : x
  2. Step 2: Convert to fraction form
    188,534.34/260,179.14 = 103,652/x
  3. Step 3: Cross multiply
    188,534.34x = 260,179.14 × 103,652
  4. Step 4: Simplify right side
    188,534.34x = 26,968,088,219.28
  5. Step 5: Solve for x
    x = 26,968,088,219.28/188,534.34
  6. Step 6: Final answer
    x = 143,040.72

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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.