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Finding the Fourth Proportional to 222,991.86, 307,718.01 and 127,509.06

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Solution

The fourth proportional to 222,991.86, 307,718.01 and 127,509.06 is: 175,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,991.86 : 307,718.01 = 127,509.06 : x
  2. Step 2: Convert to fraction form
    222,991.86/307,718.01 = 127,509.06/x
  3. Step 3: Cross multiply
    222,991.86x = 307,718.01 × 127,509.06
  4. Step 4: Simplify right side
    222,991.86x = 39,236,834,200.17
  5. Step 5: Solve for x
    x = 39,236,834,200.17/222,991.86
  6. Step 6: Final answer
    x = 175,956.35

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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.