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Finding the Fourth Proportional to 223,041.18, 307,709.24 and 127,496.62

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Solution

The fourth proportional to 223,041.18, 307,709.24 and 127,496.62 is: 175,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,041.18 : 307,709.24 = 127,496.62 : x
  2. Step 2: Convert to fraction form
    223,041.18/307,709.24 = 127,496.62/x
  3. Step 3: Cross multiply
    223,041.18x = 307,709.24 × 127,496.62
  4. Step 4: Simplify right side
    223,041.18x = 39,231,888,042.77
  5. Step 5: Solve for x
    x = 39,231,888,042.77/223,041.18
  6. Step 6: Final answer
    x = 175,895.27

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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.