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Finding the Fourth Proportional to 235,259.09, 352,690.25 and 102,039

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Solution

The fourth proportional to 235,259.09, 352,690.25 and 102,039 is: 152,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,259.09 : 352,690.25 = 102,039 : x
  2. Step 2: Convert to fraction form
    235,259.09/352,690.25 = 102,039/x
  3. Step 3: Cross multiply
    235,259.09x = 352,690.25 × 102,039
  4. Step 4: Simplify right side
    235,259.09x = 35,988,159,909.56
  5. Step 5: Solve for x
    x = 35,988,159,909.56/235,259.09
  6. Step 6: Final answer
    x = 152,972.45

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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.