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Finding the Fourth Proportional to 152,002.10, 228,003.15 and 82,018.10

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Solution

The fourth proportional to 152,002.10, 228,003.15 and 82,018.10 is: 123,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,002.10 : 228,003.15 = 82,018.10 : x
  2. Step 2: Convert to fraction form
    152,002.10/228,003.15 = 82,018.10/x
  3. Step 3: Cross multiply
    152,002.10x = 228,003.15 × 82,018.10
  4. Step 4: Simplify right side
    152,002.10x = 18,700,385,157.02
  5. Step 5: Solve for x
    x = 18,700,385,157.02/152,002.10
  6. Step 6: Final answer
    x = 123,027.15

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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.