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Finding the Fourth Proportional to 285,596, 428,415.54 and 96,056.90

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Solution

The fourth proportional to 285,596, 428,415.54 and 96,056.90 is: 144,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,596 : 428,415.54 = 96,056.90 : x
  2. Step 2: Convert to fraction form
    285,596/428,415.54 = 96,056.90/x
  3. Step 3: Cross multiply
    285,596x = 428,415.54 × 96,056.90
  4. Step 4: Simplify right side
    285,596x = 41,152,268,684.23
  5. Step 5: Solve for x
    x = 41,152,268,684.23/285,596
  6. Step 6: Final answer
    x = 144,092.59

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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.