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Finding the Fourth Proportional to 152,002.60, 227,658.30 and 96,015.40

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Solution

The fourth proportional to 152,002.60, 227,658.30 and 96,015.40 is: 143,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,002.60 : 227,658.30 = 96,015.40 : x
  2. Step 2: Convert to fraction form
    152,002.60/227,658.30 = 96,015.40/x
  3. Step 3: Cross multiply
    152,002.60x = 227,658.30 × 96,015.40
  4. Step 4: Simplify right side
    152,002.60x = 21,858,702,737.82
  5. Step 5: Solve for x
    x = 21,858,702,737.82/152,002.60
  6. Step 6: Final answer
    x = 143,804.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.