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Finding the Fourth Proportional to 285,510.09, 428,232 and 75,164.43

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Solution

The fourth proportional to 285,510.09, 428,232 and 75,164.43 is: 112,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,510.09 : 428,232 = 75,164.43 : x
  2. Step 2: Convert to fraction form
    285,510.09/428,232 = 75,164.43/x
  3. Step 3: Cross multiply
    285,510.09x = 428,232 × 75,164.43
  4. Step 4: Simplify right side
    285,510.09x = 32,187,814,187.76
  5. Step 5: Solve for x
    x = 32,187,814,187.76/285,510.09
  6. Step 6: Final answer
    x = 112,737.92

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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.