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Finding the Fourth Proportional to 223,009.72, 307,678.04 and 127,448.35

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Solution

The fourth proportional to 223,009.72, 307,678.04 and 127,448.35 is: 175,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,009.72 : 307,678.04 = 127,448.35 : x
  2. Step 2: Convert to fraction form
    223,009.72/307,678.04 = 127,448.35/x
  3. Step 3: Cross multiply
    223,009.72x = 307,678.04 × 127,448.35
  4. Step 4: Simplify right side
    223,009.72x = 39,213,057,891.99
  5. Step 5: Solve for x
    x = 39,213,057,891.99/223,009.72
  6. Step 6: Final answer
    x = 175,835.64

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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.