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Finding the Fourth Proportional to 207,028, 285,915.50 and 142,664.59

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Solution

The fourth proportional to 207,028, 285,915.50 and 142,664.59 is: 197,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,028 : 285,915.50 = 142,664.59 : x
  2. Step 2: Convert to fraction form
    207,028/285,915.50 = 142,664.59/x
  3. Step 3: Cross multiply
    207,028x = 285,915.50 × 142,664.59
  4. Step 4: Simplify right side
    207,028x = 40,790,017,582.15
  5. Step 5: Solve for x
    x = 40,790,017,582.15/207,028
  6. Step 6: Final answer
    x = 197,026.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.