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Finding the Fourth Proportional to 223,581.14, 308,564.61 and 128,100.50

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Solution

The fourth proportional to 223,581.14, 308,564.61 and 128,100.50 is: 176,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,581.14 : 308,564.61 = 128,100.50 : x
  2. Step 2: Convert to fraction form
    223,581.14/308,564.61 = 128,100.50/x
  3. Step 3: Cross multiply
    223,581.14x = 308,564.61 × 128,100.50
  4. Step 4: Simplify right side
    223,581.14x = 39,527,280,823.31
  5. Step 5: Solve for x
    x = 39,527,280,823.31/223,581.14
  6. Step 6: Final answer
    x = 176,791.66

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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.