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Finding the Fourth Proportional to 235,255.84, 352,685.36 and 102,035.76

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Solution

The fourth proportional to 235,255.84, 352,685.36 and 102,035.76 is: 152,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,255.84 : 352,685.36 = 102,035.76 : x
  2. Step 2: Convert to fraction form
    235,255.84/352,685.36 = 102,035.76/x
  3. Step 3: Cross multiply
    235,255.84x = 352,685.36 × 102,035.76
  4. Step 4: Simplify right side
    235,255.84x = 35,986,518,121.85
  5. Step 5: Solve for x
    x = 35,986,518,121.85/235,255.84
  6. Step 6: Final answer
    x = 152,967.59

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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.