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Finding the Fourth Proportional to 228,720.64, 315,744 and 152,366.80

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Solution

The fourth proportional to 228,720.64, 315,744 and 152,366.80 is: 210,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,720.64 : 315,744 = 152,366.80 : x
  2. Step 2: Convert to fraction form
    228,720.64/315,744 = 152,366.80/x
  3. Step 3: Cross multiply
    228,720.64x = 315,744 × 152,366.80
  4. Step 4: Simplify right side
    228,720.64x = 48,108,902,899.20
  5. Step 5: Solve for x
    x = 48,108,902,899.20/228,720.64
  6. Step 6: Final answer
    x = 210,339.14

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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.