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Finding the Fourth Proportional to 222,508.16, 333,178.98 and 152,524.16

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Solution

The fourth proportional to 222,508.16, 333,178.98 and 152,524.16 is: 228,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,508.16 : 333,178.98 = 152,524.16 : x
  2. Step 2: Convert to fraction form
    222,508.16/333,178.98 = 152,524.16/x
  3. Step 3: Cross multiply
    222,508.16x = 333,178.98 × 152,524.16
  4. Step 4: Simplify right side
    222,508.16x = 50,817,844,054.16
  5. Step 5: Solve for x
    x = 50,817,844,054.16/222,508.16
  6. Step 6: Final answer
    x = 228,386.43

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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.