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Finding the Fourth Proportional to 223,038.54, 307,811.52 and 127,563.66

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Solution

The fourth proportional to 223,038.54, 307,811.52 and 127,563.66 is: 176,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,038.54 : 307,811.52 = 127,563.66 : x
  2. Step 2: Convert to fraction form
    223,038.54/307,811.52 = 127,563.66/x
  3. Step 3: Cross multiply
    223,038.54x = 307,811.52 × 127,563.66
  4. Step 4: Simplify right side
    223,038.54x = 39,265,564,081.36
  5. Step 5: Solve for x
    x = 39,265,564,081.36/223,038.54
  6. Step 6: Final answer
    x = 176,048.34

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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.