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Finding the Fourth Proportional to 285,752.71, 428,629.06 and 96,197.22

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Solution

The fourth proportional to 285,752.71, 428,629.06 and 96,197.22 is: 144,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,752.71 : 428,629.06 = 96,197.22 : x
  2. Step 2: Convert to fraction form
    285,752.71/428,629.06 = 96,197.22/x
  3. Step 3: Cross multiply
    285,752.71x = 428,629.06 × 96,197.22
  4. Step 4: Simplify right side
    285,752.71x = 41,232,921,840.07
  5. Step 5: Solve for x
    x = 41,232,921,840.07/285,752.71
  6. Step 6: Final answer
    x = 144,295.82

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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.