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Finding the Fourth Proportional to 152,165.15, 227,729.33 and 152,165.15

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Solution

The fourth proportional to 152,165.15, 227,729.33 and 152,165.15 is: 227,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,165.15 : 227,729.33 = 152,165.15 : x
  2. Step 2: Convert to fraction form
    152,165.15/227,729.33 = 152,165.15/x
  3. Step 3: Cross multiply
    152,165.15x = 227,729.33 × 152,165.15
  4. Step 4: Simplify right side
    152,165.15x = 34,652,466,898.02
  5. Step 5: Solve for x
    x = 34,652,466,898.02/152,165.15
  6. Step 6: Final answer
    x = 227,729.33

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Why These Related Problems?

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