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Finding the Fourth Proportional to 242,437.84, 334,391.88 and 161,824.72

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Solution

The fourth proportional to 242,437.84, 334,391.88 and 161,824.72 is: 223,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,437.84 : 334,391.88 = 161,824.72 : x
  2. Step 2: Convert to fraction form
    242,437.84/334,391.88 = 161,824.72/x
  3. Step 3: Cross multiply
    242,437.84x = 334,391.88 × 161,824.72
  4. Step 4: Simplify right side
    242,437.84x = 54,112,872,351.27
  5. Step 5: Solve for x
    x = 54,112,872,351.27/242,437.84
  6. Step 6: Final answer
    x = 223,203.08

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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.