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Finding the Fourth Proportional to 223,174.64, 307,980.04 and 121,199.38

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Solution

The fourth proportional to 223,174.64, 307,980.04 and 121,199.38 is: 167,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,174.64 : 307,980.04 = 121,199.38 : x
  2. Step 2: Convert to fraction form
    223,174.64/307,980.04 = 121,199.38/x
  3. Step 3: Cross multiply
    223,174.64x = 307,980.04 × 121,199.38
  4. Step 4: Simplify right side
    223,174.64x = 37,326,989,900.38
  5. Step 5: Solve for x
    x = 37,326,989,900.38/223,174.64
  6. Step 6: Final answer
    x = 167,254.62

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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.