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Finding the Fourth Proportional to 152,032.70, 228,049.05 and 102,266.30

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Solution

The fourth proportional to 152,032.70, 228,049.05 and 102,266.30 is: 153,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,032.70 : 228,049.05 = 102,266.30 : x
  2. Step 2: Convert to fraction form
    152,032.70/228,049.05 = 102,266.30/x
  3. Step 3: Cross multiply
    152,032.70x = 228,049.05 × 102,266.30
  4. Step 4: Simplify right side
    152,032.70x = 23,321,732,562.02
  5. Step 5: Solve for x
    x = 23,321,732,562.02/152,032.70
  6. Step 6: Final answer
    x = 153,399.45

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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.