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Finding the Fourth Proportional to 285,602, 428,424.56 and 96,062.92

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Solution

The fourth proportional to 285,602, 428,424.56 and 96,062.92 is: 144,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,602 : 428,424.56 = 96,062.92 : x
  2. Step 2: Convert to fraction form
    285,602/428,424.56 = 96,062.92/x
  3. Step 3: Cross multiply
    285,602x = 428,424.56 × 96,062.92
  4. Step 4: Simplify right side
    285,602x = 41,155,714,233.32
  5. Step 5: Solve for x
    x = 41,155,714,233.32/285,602
  6. Step 6: Final answer
    x = 144,101.63

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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.