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Finding the Fourth Proportional to 252,317.94, 378,048.44 and 152,267.90

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Solution

The fourth proportional to 252,317.94, 378,048.44 and 152,267.90 is: 228,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,317.94 : 378,048.44 = 152,267.90 : x
  2. Step 2: Convert to fraction form
    252,317.94/378,048.44 = 152,267.90/x
  3. Step 3: Cross multiply
    252,317.94x = 378,048.44 × 152,267.90
  4. Step 4: Simplify right side
    252,317.94x = 57,564,642,057.08
  5. Step 5: Solve for x
    x = 57,564,642,057.08/252,317.94
  6. Step 6: Final answer
    x = 228,143.28

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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.