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Finding the Fourth Proportional to 223,285.76, 308,047.08 and 127,741.28

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Solution

The fourth proportional to 223,285.76, 308,047.08 and 127,741.28 is: 176,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,285.76 : 308,047.08 = 127,741.28 : x
  2. Step 2: Convert to fraction form
    223,285.76/308,047.08 = 127,741.28/x
  3. Step 3: Cross multiply
    223,285.76x = 308,047.08 × 127,741.28
  4. Step 4: Simplify right side
    223,285.76x = 39,350,328,299.46
  5. Step 5: Solve for x
    x = 39,350,328,299.46/223,285.76
  6. Step 6: Final answer
    x = 176,233.04

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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.