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Finding the Fourth Proportional to 242,438.84, 334,393.26 and 161,825.72

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Solution

The fourth proportional to 242,438.84, 334,393.26 and 161,825.72 is: 223,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,438.84 : 334,393.26 = 161,825.72 : x
  2. Step 2: Convert to fraction form
    242,438.84/334,393.26 = 161,825.72/x
  3. Step 3: Cross multiply
    242,438.84x = 334,393.26 × 161,825.72
  4. Step 4: Simplify right side
    242,438.84x = 54,113,430,062.65
  5. Step 5: Solve for x
    x = 54,113,430,062.65/242,438.84
  6. Step 6: Final answer
    x = 223,204.46

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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.