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Finding the Fourth Proportional to 222,484.64, 307,029.32 and 120,509.69

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Solution

The fourth proportional to 222,484.64, 307,029.32 and 120,509.69 is: 166,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,484.64 : 307,029.32 = 120,509.69 : x
  2. Step 2: Convert to fraction form
    222,484.64/307,029.32 = 120,509.69/x
  3. Step 3: Cross multiply
    222,484.64x = 307,029.32 × 120,509.69
  4. Step 4: Simplify right side
    222,484.64x = 37,000,006,036.42
  5. Step 5: Solve for x
    x = 37,000,006,036.42/222,484.64
  6. Step 6: Final answer
    x = 166,303.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.