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Finding the Fourth Proportional to 252,320.92, 378,052.94 and 152,270.90

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Solution

The fourth proportional to 252,320.92, 378,052.94 and 152,270.90 is: 228,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,320.92 : 378,052.94 = 152,270.90 : x
  2. Step 2: Convert to fraction form
    252,320.92/378,052.94 = 152,270.90/x
  3. Step 3: Cross multiply
    252,320.92x = 378,052.94 × 152,270.90
  4. Step 4: Simplify right side
    252,320.92x = 57,566,461,421.45
  5. Step 5: Solve for x
    x = 57,566,461,421.45/252,320.92
  6. Step 6: Final answer
    x = 228,147.79

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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.