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Finding the Fourth Proportional to 223,765.16, 308,905.92 and 175,280.74

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Solution

The fourth proportional to 223,765.16, 308,905.92 and 175,280.74 is: 241,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,765.16 : 308,905.92 = 175,280.74 : x
  2. Step 2: Convert to fraction form
    223,765.16/308,905.92 = 175,280.74/x
  3. Step 3: Cross multiply
    223,765.16x = 308,905.92 × 175,280.74
  4. Step 4: Simplify right side
    223,765.16x = 54,145,257,475.72
  5. Step 5: Solve for x
    x = 54,145,257,475.72/223,765.16
  6. Step 6: Final answer
    x = 241,973.59

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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.