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Finding the Fourth Proportional to 223,007.72, 307,675.28 and 127,446.35

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Solution

The fourth proportional to 223,007.72, 307,675.28 and 127,446.35 is: 175,832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,007.72 : 307,675.28 = 127,446.35 : x
  2. Step 2: Convert to fraction form
    223,007.72/307,675.28 = 127,446.35/x
  3. Step 3: Cross multiply
    223,007.72x = 307,675.28 × 127,446.35
  4. Step 4: Simplify right side
    223,007.72x = 39,212,090,784.00
  5. Step 5: Solve for x
    x = 39,212,090,784.00/223,007.72
  6. Step 6: Final answer
    x = 175,832.88

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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.